87142032 has 120 divisors (see below), whose sum is σ = 258358464. Its totient is φ = 27363072.

The previous prime is 87142021. The next prime is 87142043. The reversal of 87142032 is 23024178.

It is an interprime number because it is at equal distance from previous prime (87142021) and next prime (87142043).

It is a junction number, because it is equal to n+sod(n) for n = 87141987 and 87142005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274738 + ... + 275054.

Almost surely, 2^87142032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129179232).

87142032 is an abundant number, since it is smaller than the sum of its proper divisors (171216432).

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

87142032 is a wasteful number, since it uses less digits than its factorization.

87142032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 87142032 is about 9334.9896625545. The cubic root of 87142032 is about 443.3457615501.

The spelling of 87142032 in words is "eighty-seven million, one hundred forty-two thousand, thirty-two".