87562944 has 280 divisors, whose sum is σ = 314716160. Its totient is φ = 23514624.

The previous prime is 87562939. The next prime is 87562949. The reversal of 87562944 is 44926578.

It is a happy number.

87562944 is a `hidden beast` number, since 87 + 562 + 9 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (87562939) and next prime (87562949).

It is a self number, because there is not a number n which added to its sum of digits gives 87562944.

It is not an unprimeable number, because it can be changed into a prime (87562949) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 689409 + ... + 689535.

Almost surely, 2^87562944 is an apocalyptic number.

87562944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87562944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157358080).

87562944 is an abundant number, since it is smaller than the sum of its proper divisors (227153216).

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

87562944 is a wasteful number, since it uses less digits than its factorization.

87562944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 158 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 87562944 is about 9357.5073604032. The cubic root of 87562944 is about 444.0584291258.

The spelling of 87562944 in words is "eighty-seven million, five hundred sixty-two thousand, nine hundred forty-four".