1025676288 has 264 divisors, whose sum is σ = 3648048768. Its totient is φ = 270286848.

The previous prime is 1025676271. The next prime is 1025676319. The reversal of 1025676288 is 8826765201.

1025676288 is a `hidden beast` number, since 1 + 0 + 2 + 567 + 6 + 2 + 88 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838045 + ... + 839267.

Almost surely, 2^1025676288 is an apocalyptic number.

1025676288 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 1025676288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824024384).

1025676288 is an abundant number, since it is smaller than the sum of its proper divisors (2622372480).

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

1025676288 is a wasteful number, since it uses less digits than its factorization.

1025676288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1025676288 is about 32026.1812896886. The cubic root of 1025676288 is about 1008.4865376089.

The spelling of 1025676288 in words is "one billion, twenty-five million, six hundred seventy-six thousand, two hundred eighty-eight".