87681528 has 80 divisors (see below), whose sum is σ = 267937560. Its totient is φ = 26568000.

The previous prime is 87681487. The next prime is 87681571. The reversal of 87681528 is 82518678.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 978 + ... + 13278.

Almost surely, 2^87681528 is an apocalyptic number.

87681528 is a gapful number since it is divisible by the number (88) 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 87681528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133968780).

87681528 is an abundant number, since it is smaller than the sum of its proper divisors (180256032).

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

87681528 is a wasteful number, since it uses less digits than its factorization.

87681528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12330 (or 12317 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 87681528 is about 9363.8415193765. The cubic root of 87681528 is about 444.2587972611.

It can be divided in two parts, 87681 and 528, that added together give a square (88209 = 297²).

The spelling of 87681528 in words is "eighty-seven million, six hundred eighty-one thousand, five hundred twenty-eight".