87742160 has 40 divisors (see below), whose sum is σ = 222548256. Its totient is φ = 31905920.

The previous prime is 87742159. The next prime is 87742181. The reversal of 87742160 is 6124778.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 87742160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48974 + ... + 50733.

Almost surely, 2^87742160 is an apocalyptic number.

87742160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87742160 is an abundant number, since it is smaller than the sum of its proper divisors (134806096).

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

87742160 is a wasteful number, since it uses less digits than its factorization.

87742160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99731 (or 99725 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 87742160 is about 9367.0785200083. The cubic root of 87742160 is about 444.3611756965.

It can be divided in two parts, 87 and 742160, that added together give a palindrome (742247).

The spelling of 87742160 in words is "eighty-seven million, seven hundred forty-two thousand, one hundred sixty".