87833732 has 48 divisors (see below), whose sum is σ = 186762240. Its totient is φ = 35305632.

The previous prime is 87833699. The next prime is 87833761. The reversal of 87833732 is 23733878.

It is a self number, because there is not a number n which added to its sum of digits gives 87833732.

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, 56153 + ... + 57695.

It is an arithmetic number, because the mean of its divisors is an integer number (3890880).

Almost surely, 2^87833732 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 87833732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93381120).

87833732 is an abundant number, since it is smaller than the sum of its proper divisors (98928508).

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

87833732 is a wasteful number, since it uses less digits than its factorization.

87833732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1678 counting only the distinct ones).

The product of its digits is 169344, while the sum is 41.

The square root of 87833732 is about 9371.9652154711. The cubic root of 87833732 is about 444.5157076192.

The spelling of 87833732 in words is "eighty-seven million, eight hundred thirty-three thousand, seven hundred thirty-two".