87341280 has 96 divisors (see below), whose sum is σ = 296309664. Its totient is φ = 21497856.

The previous prime is 87341279. The next prime is 87341311. The reversal of 87341280 is 8214378.

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

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, 759 + ... + 13238.

It is an arithmetic number, because the mean of its divisors is an integer number (3086559).

Almost surely, 2^87341280 is an apocalyptic number.

87341280 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 87341280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148154832).

87341280 is an abundant number, since it is smaller than the sum of its proper divisors (208968384).

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

87341280 is a wasteful number, since it uses less digits than its factorization.

87341280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14028 (or 14020 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 87341280 is about 9345.6556752322. The cubic root of 87341280 is about 443.6834038789.

The spelling of 87341280 in words is "eighty-seven million, three hundred forty-one thousand, two hundred eighty".