1025745840 has 240 divisors, whose sum is σ = 3956699136. Its totient is φ = 233280000.

The previous prime is 1025745839. The next prime is 1025745859. The reversal of 1025745840 is 485475201.

1025745840 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 74 + 584 + 0 = 666.

1025745840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1025745795 and 1025745804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1365465 + ... + 1366215.

Almost surely, 2^1025745840 is an apocalyptic number.

1025745840 is a gapful number since it is divisible by the number (10) 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 1025745840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978349568).

1025745840 is an abundant number, since it is smaller than the sum of its proper divisors (2930953296).

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

1025745840 is a wasteful number, since it uses less digits than its factorization.

1025745840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1025745840 is about 32027.2671328666. The cubic root of 1025745840 is about 1008.5093325430.

The spelling of 1025745840 in words is "one billion, twenty-five million, seven hundred forty-five thousand, eight hundred forty".