88918960 has 80 divisors (see below), whose sum is σ = 224298144. Its totient is φ = 32587776.

The previous prime is 88918957. The next prime is 88918961. The reversal of 88918960 is 6981988.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88918961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200499 + ... + 200941.

Almost surely, 2^88918960 is an apocalyptic number.

88918960 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 88918960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112149072).

88918960 is an abundant number, since it is smaller than the sum of its proper divisors (135379184).

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

88918960 is a wasteful number, since it uses less digits than its factorization.

88918960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 49.

The square root of 88918960 is about 9429.6850424603. The cubic root of 88918960 is about 446.3389541956.

It can be divided in two parts, 889189 and 60, that added together give a square (889249 = 943²).

The spelling of 88918960 in words is "eighty-eight million, nine hundred eighteen thousand, nine hundred sixty".