88507680 has 96 divisors (see below), whose sum is σ = 290957184. Its totient is φ = 22573056.

The previous prime is 88507633. The next prime is 88507691. The reversal of 88507680 is 8670588.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7032 + ... + 15048.

It is an arithmetic number, because the mean of its divisors is an integer number (3030804).

Almost surely, 2^88507680 is an apocalyptic number.

88507680 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 88507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145478592).

88507680 is an abundant number, since it is smaller than the sum of its proper divisors (202449504).

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

88507680 is a wasteful number, since it uses less digits than its factorization.

88507680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8058 (or 8050 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 88507680 is about 9407.8520396528. The cubic root of 88507680 is about 445.6497347111.

The spelling of 88507680 in words is "eighty-eight million, five hundred seven thousand, six hundred eighty".