1025736948 has 72 divisors (see below), whose sum is σ = 2670595200. Its totient is φ = 331808256.

The previous prime is 1025736941. The next prime is 1025736949. The reversal of 1025736948 is 8496375201.

1025736948 is a `hidden beast` number, since 10 + 2 + 573 + 69 + 4 + 8 = 666.

1025736948 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1025736948 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 (1025736941) 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, 164740 + ... + 170852.

It is an arithmetic number, because the mean of its divisors is an integer number (37091600).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1025736948 = 2051473896, but 3⋅1025736948 = 3077210844 is not.

Almost surely, 2^1025736948 is an apocalyptic number.

1025736948 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 1025736948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335297600).

1025736948 is an abundant number, since it is smaller than the sum of its proper divisors (1644858252).

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

1025736948 is a wasteful number, since it uses less digits than its factorization.

1025736948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6261 (or 6256 counting only the distinct ones).

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

The square root of 1025736948 is about 32027.1283133534. The cubic root of 1025736948 is about 1008.5064183413.

The spelling of 1025736948 in words is "one billion, twenty-five million, seven hundred thirty-six thousand, nine hundred forty-eight".