87044544 has 168 divisors, whose sum is σ = 269046960. Its totient is φ = 27869184.

The previous prime is 87044501. The next prime is 87044549. The reversal of 87044544 is 44544078.

87044544 is a `hidden beast` number, since 8 + 70 + 44 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87044499 and 87044508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87044549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450912 + ... + 451104.

It is an arithmetic number, because the mean of its divisors is an integer number (1601470).

Almost surely, 2^87044544 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 87044544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134523480).

87044544 is an abundant number, since it is smaller than the sum of its proper divisors (182002416).

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

87044544 is a wasteful number, since it uses less digits than its factorization.

87044544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 87044544 is about 9329.7665565651. The cubic root of 87044544 is about 443.1803724794.

It can be divided in two parts, 870445 and 44, that added together give a square (870489 = 933²).

The spelling of 87044544 in words is "eighty-seven million, forty-four thousand, five hundred forty-four".