88573680 has 120 divisors (see below), whose sum is σ = 320375328. Its totient is φ = 21800448.

The previous prime is 88573669. The next prime is 88573739. The reversal of 88573680 is 8637588.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4629 + ... + 14091.

Almost surely, 2^88573680 is an apocalyptic number.

88573680 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 88573680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160187664).

88573680 is an abundant number, since it is smaller than the sum of its proper divisors (231801648).

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

88573680 is a wasteful number, since it uses less digits than its factorization.

88573680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9495 (or 9486 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 88573680 is about 9411.3590942010. The cubic root of 88573680 is about 445.7604805601.

It can be divided in two parts, 88573 and 680, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 88573680 in words is "eighty-eight million, five hundred seventy-three thousand, six hundred eighty".