1025749368 has 96 divisors (see below), whose sum is σ = 3179404800. Its totient is φ = 292659264.

The previous prime is 1025749367. The next prime is 1025749381. The reversal of 1025749368 is 8639475201.

1025749368 is a `hidden beast` number, since 10 + 2 + 574 + 9 + 3 + 68 = 666.

1025749368 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1025749368 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025749367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664005 + ... + 665547.

It is an arithmetic number, because the mean of its divisors is an integer number (33118800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1025749368 = 2051498736, but 3⋅1025749368 = 3077248104 is not.

Almost surely, 2^1025749368 is an apocalyptic number.

1025749368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025749368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589702400).

1025749368 is an abundant number, since it is smaller than the sum of its proper divisors (2153655432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1025749368 is a wasteful number, since it uses less digits than its factorization.

1025749368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1025749368 is about 32027.3222108874. The cubic root of 1025749368 is about 1008.5104887803.

It can be divided in two parts, 10257 and 49368, that multiplied together give a triangular number (506367576 = T₃₁₈₂₃).

The spelling of 1025749368 in words is "one billion, twenty-five million, seven hundred forty-nine thousand, three hundred sixty-eight".