87624416 has 48 divisors (see below), whose sum is σ = 190375920. Its totient is φ = 39367680.

The previous prime is 87624413. The next prime is 87624431. The reversal of 87624416 is 61442678.

It is a self number, because there is not a number n which added to its sum of digits gives 87624416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87624413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29930 + ... + 32726.

It is an arithmetic number, because the mean of its divisors is an integer number (3966165).

Almost surely, 2^87624416 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 87624416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95187960).

87624416 is an abundant number, since it is smaller than the sum of its proper divisors (102751504).

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

87624416 is a wasteful number, since it uses less digits than its factorization.

87624416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2899 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 87624416 is about 9360.7914195329. The cubic root of 87624416 is about 444.1623192463.

The spelling of 87624416 in words is "eighty-seven million, six hundred twenty-four thousand, four hundred sixteen".