88956480 has 112 divisors (see below), whose sum is σ = 297362880. Its totient is φ = 22468608.

The previous prime is 88956431. The next prime is 88956481. The reversal of 88956480 is 8465988.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88956481) 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, 15802 + ... + 20678.

Almost surely, 2^88956480 is an apocalyptic number.

88956480 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 88956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148681440).

88956480 is an abundant number, since it is smaller than the sum of its proper divisors (208406400).

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

88956480 is a wasteful number, since it uses less digits than its factorization.

88956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4916 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 88956480 is about 9431.6742946308. The cubic root of 88956480 is about 446.4017240205.

The spelling of 88956480 in words is "eighty-eight million, nine hundred fifty-six thousand, four hundred eighty".