88052640 has 192 divisors, whose sum is σ = 303803136. Its totient is φ = 21307392.

The previous prime is 88052633. The next prime is 88052677. The reversal of 88052640 is 4625088.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 642652 + ... + 642788.

It is an arithmetic number, because the mean of its divisors is an integer number (1582308).

Almost surely, 2^88052640 is an apocalyptic number.

88052640 is a gapful number since it is divisible by the number (80) 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 88052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151901568).

88052640 is an abundant number, since it is smaller than the sum of its proper divisors (215750496).

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

88052640 is a wasteful number, since it uses less digits than its factorization.

88052640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 88052640 is about 9383.6368216167. The cubic root of 88052640 is about 444.8846900658.

The spelling of 88052640 in words is "eighty-eight million, fifty-two thousand, six hundred forty".