87906192 has 80 divisors (see below), whose sum is σ = 256322880. Its totient is φ = 25715200.

The previous prime is 87906157. The next prime is 87906193. The reversal of 87906192 is 29160978.

It is not an unprimeable number, because it can be changed into a prime (87906193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12442 + ... + 18182.

It is an arithmetic number, because the mean of its divisors is an integer number (3204036).

Almost surely, 2^87906192 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 87906192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128161440).

87906192 is an abundant number, since it is smaller than the sum of its proper divisors (168416688).

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

87906192 is a wasteful number, since it uses less digits than its factorization.

87906192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5792 (or 5786 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 87906192 is about 9375.8302032407. The cubic root of 87906192 is about 444.6379110681.

The spelling of 87906192 in words is "eighty-seven million, nine hundred six thousand, one hundred ninety-two".