88515280 has 80 divisors (see below), whose sum is σ = 236484864. Its totient is φ = 30182400.

The previous prime is 88515263. The next prime is 88515299. The reversal of 88515280 is 8251588.

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

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 15 ways as a sum of consecutive naturals, for example, 146980 + ... + 147580.

Almost surely, 2^88515280 is an apocalyptic number.

88515280 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 88515280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118242432).

88515280 is an abundant number, since it is smaller than the sum of its proper divisors (147969584).

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

88515280 is a wasteful number, since it uses less digits than its factorization.

88515280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 37.

The square root of 88515280 is about 9408.2559488993. The cubic root of 88515280 is about 445.6624900677.

The spelling of 88515280 in words is "eighty-eight million, five hundred fifteen thousand, two hundred eighty".