88603920 has 120 divisors (see below), whose sum is σ = 300557400. Its totient is φ = 23390208.

The previous prime is 88603919. The next prime is 88603927. The reversal of 88603920 is 2930688.

It can be written as a sum of positive squares in 4 ways, for example, as 2782224 + 85821696 = 1668^2 + 9264^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (88603927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77916 + ... + 79044.

It is an arithmetic number, because the mean of its divisors is an integer number (2504645).

Almost surely, 2^88603920 is an apocalyptic number.

88603920 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 88603920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150278700).

88603920 is an abundant number, since it is smaller than the sum of its proper divisors (211953480).

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

88603920 is a wasteful number, since it uses less digits than its factorization.

88603920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 88603920 is about 9412.9655263365. The cubic root of 88603920 is about 445.8112039171.

The spelling of 88603920 in words is "eighty-eight million, six hundred three thousand, nine hundred twenty".