87566416 has 40 divisors (see below), whose sum is σ = 194949824. Its totient is φ = 37324800.

The previous prime is 87566393. The next prime is 87566419. The reversal of 87566416 is 61466578.

It is a happy number.

It is a super-2 number, since 2×87566416² = 15335754422170112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87566419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19591 + ... + 23641.

Almost surely, 2^87566416 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 87566416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97474912).

87566416 is an abundant number, since it is smaller than the sum of its proper divisors (107383408).

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

87566416 is a wasteful number, since it uses less digits than its factorization.

87566416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259 (or 4253 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 87566416 is about 9357.6928780549. The cubic root of 87566416 is about 444.0642982389.

The spelling of 87566416 in words is "eighty-seven million, five hundred sixty-six thousand, four hundred sixteen".