87416496 has 100 divisors (see below), whose sum is σ = 259989312. Its totient is φ = 28335744.

The previous prime is 87416489. The next prime is 87416507. The reversal of 87416496 is 69461478.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47041 + ... + 48863.

Almost surely, 2^87416496 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 87416496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129994656).

87416496 is an abundant number, since it is smaller than the sum of its proper divisors (172572816).

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

87416496 is a wasteful number, since it uses less digits than its factorization.

87416496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1865 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 87416496 is about 9349.6789249685. The cubic root of 87416496 is about 443.8107301397.

The spelling of 87416496 in words is "eighty-seven million, four hundred sixteen thousand, four hundred ninety-six".