87196032 has 192 divisors, whose sum is σ = 313148160. Its totient is φ = 22625280.

The previous prime is 87196019. The next prime is 87196033. The reversal of 87196032 is 23069178.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87196033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88213 + ... + 89195.

It is an arithmetic number, because the mean of its divisors is an integer number (1630980).

Almost surely, 2^87196032 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 87196032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156574080).

87196032 is an abundant number, since it is smaller than the sum of its proper divisors (225952128).

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

87196032 is a wasteful number, since it uses less digits than its factorization.

87196032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 87196032 is about 9337.8815584692. The cubic root of 87196032 is about 443.4373198452.

The spelling of 87196032 in words is "eighty-seven million, one hundred ninety-six thousand, thirty-two".