1025656920 has 192 divisors, whose sum is σ = 3651804000. Its totient is φ = 248500224.

The previous prime is 1025656883. The next prime is 1025656927. The reversal of 1025656920 is 296565201.

1025656920 is a `hidden beast` number, since 1 + 0 + 2 + 565 + 6 + 92 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025656927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174591 + ... + 180369.

Almost surely, 2^1025656920 is an apocalyptic number.

1025656920 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 1025656920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825902000).

1025656920 is an abundant number, since it is smaller than the sum of its proper divisors (2626147080).

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

1025656920 is a wasteful number, since it uses less digits than its factorization.

1025656920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1025656920 is about 32025.8789106560. The cubic root of 1025656920 is about 1008.4801897678.

It can be divided in two parts, 10256 and 56920, that added together give a palindrome (67176).

The spelling of 1025656920 in words is "one billion, twenty-five million, six hundred fifty-six thousand, nine hundred twenty".