87874416 has 80 divisors (see below), whose sum is σ = 288275200. Its totient is φ = 25106112.

The previous prime is 87874393. The next prime is 87874433. The reversal of 87874416 is 61447878.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11506 + ... + 17553.

It is an arithmetic number, because the mean of its divisors is an integer number (3603440).

Almost surely, 2^87874416 is an apocalyptic number.

It is an amenable number.

87874416 is an abundant number, since it is smaller than the sum of its proper divisors (200400784).

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

87874416 is a wasteful number, since it uses less digits than its factorization.

87874416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29083 (or 29071 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 87874416 is about 9374.1354801390. The cubic root of 87874416 is about 444.5843292642.

It can be divided in two parts, 8787 and 4416, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 87874416 in words is "eighty-seven million, eight hundred seventy-four thousand, four hundred sixteen".