87601632 has 48 divisors (see below), whose sum is σ = 232560720. Its totient is φ = 28869632.

The previous prime is 87601597. The next prime is 87601639. The reversal of 87601632 is 23610678.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 87601593 and 87601602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87601639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3418 + ... + 13670.

It is an arithmetic number, because the mean of its divisors is an integer number (4845015).

Almost surely, 2^87601632 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 87601632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116280360).

87601632 is an abundant number, since it is smaller than the sum of its proper divisors (144959088).

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

87601632 is a wasteful number, since it uses less digits than its factorization.

87601632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10355 (or 10347 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 87601632 is about 9359.5743492960. The cubic root of 87601632 is about 444.1238190505.

The spelling of 87601632 in words is "eighty-seven million, six hundred one thousand, six hundred thirty-two".