88461680 has 80 divisors (see below), whose sum is σ = 216843264. Its totient is φ = 33496320.

The previous prime is 88461679. The next prime is 88461691. The reversal of 88461680 is 8616488.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240857 + ... + 241223.

Almost surely, 2^88461680 is an apocalyptic number.

88461680 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 88461680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108421632).

88461680 is an abundant number, since it is smaller than the sum of its proper divisors (128381584).

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

88461680 is a wasteful number, since it uses less digits than its factorization.

88461680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 88461680 is about 9405.4069555761. The cubic root of 88461680 is about 445.5725156484.

The spelling of 88461680 in words is "eighty-eight million, four hundred sixty-one thousand, six hundred eighty".