88641080 has 128 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 29145600.

The previous prime is 88641073. The next prime is 88641097. The reversal of 88641080 is 8014688.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 88641080.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 192050 + ... + 192510.

It is an arithmetic number, because the mean of its divisors is an integer number (1871100).

Almost surely, 2^88641080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88641080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

88641080 is an abundant number, since it is smaller than the sum of its proper divisors (150859720).

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

88641080 is a wasteful number, since it uses less digits than its factorization.

88641080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 88641080 is about 9414.9391925811. The cubic root of 88641080 is about 445.8735188009.

The spelling of 88641080 in words is "eighty-eight million, six hundred forty-one thousand, eighty".