87565392 has 60 divisors (see below), whose sum is σ = 247627380. Its totient is φ = 28882944.

The previous prime is 87565369. The next prime is 87565399. The reversal of 87565392 is 29356578.

It is a happy number.

87565392 is a `hidden beast` number, since 87 + 565 + 3 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33454656 + 54110736 = 5784^2 + 7356^2 .

It is a super-2 number, since 2×87565392² = 15335395752227328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87565399) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10834 + ... + 17102.

It is an arithmetic number, because the mean of its divisors is an integer number (4127123).

Almost surely, 2^87565392 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 87565392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123813690).

87565392 is an abundant number, since it is smaller than the sum of its proper divisors (160061988).

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

87565392 is a wasteful number, since it uses less digits than its factorization.

87565392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6380 (or 6371 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 87565392 is about 9357.6381635539. The cubic root of 87565392 is about 444.0625672724.

The spelling of 87565392 in words is "eighty-seven million, five hundred sixty-five thousand, three hundred ninety-two".