88724160 has 336 divisors, whose sum is σ = 363906816. Its totient is φ = 20155392.

The previous prime is 88724159. The next prime is 88724161. The reversal of 88724160 is 6142788.

It is an interprime number because it is at equal distance from previous prime (88724159) and next prime (88724161).

It is a tau number, because it is divible by the number of its divisors (336).

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 (88724161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544239 + ... + 544401.

It is an arithmetic number, because the mean of its divisors is an integer number (1083056).

Almost surely, 2^88724160 is an apocalyptic number.

88724160 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 88724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181953408).

88724160 is an abundant number, since it is smaller than the sum of its proper divisors (275182656).

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

88724160 is a wasteful number, since it uses less digits than its factorization.

88724160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 88724160 is about 9419.3502960661. The cubic root of 88724160 is about 446.0127755462.

The spelling of 88724160 in words is "eighty-eight million, seven hundred twenty-four thousand, one hundred sixty".