88957840 has 80 divisors (see below), whose sum is σ = 215343360. Its totient is φ = 34150400.

The previous prime is 88957837. The next prime is 88957849. The reversal of 88957840 is 4875988.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (88957849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221640 + ... + 222040.

It is an arithmetic number, because the mean of its divisors is an integer number (2691792).

Almost surely, 2^88957840 is an apocalyptic number.

88957840 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 88957840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107671680).

88957840 is an abundant number, since it is smaller than the sum of its proper divisors (126385520).

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

88957840 is a wasteful number, since it uses less digits than its factorization.

88957840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 49.

The square root of 88957840 is about 9431.7463918407. The cubic root of 88957840 is about 446.4039989279.

Subtracting from 88957840 its sum of digits (49), we obtain a triangular number (88957791 = T₁₃₃₃₈).

The spelling of 88957840 in words is "eighty-eight million, nine hundred fifty-seven thousand, eight hundred forty".