87719632 has 80 divisors (see below), whose sum is σ = 228235392. Its totient is φ = 31541760.

The previous prime is 87719587. The next prime is 87719651. The reversal of 87719632 is 23691778.

It is a happy number.

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, 13278 + ... + 18754.

Almost surely, 2^87719632 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 87719632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114117696).

87719632 is an abundant number, since it is smaller than the sum of its proper divisors (140515760).

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

87719632 is a wasteful number, since it uses less digits than its factorization.

87719632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5516 (or 5510 counting only the distinct ones).

The product of its digits is 127008, while the sum is 43.

The square root of 87719632 is about 9365.8759334085. The cubic root of 87719632 is about 444.3231421923.

It can be divided in two parts, 8771963 and 2, that multiplied together give a triangular number (17543926 = T₅₉₂₃).

The spelling of 87719632 in words is "eighty-seven million, seven hundred nineteen thousand, six hundred thirty-two".