87093552 has 160 divisors (see below), whose sum is σ = 280870912. Its totient is φ = 22643712.

The previous prime is 87093551. The next prime is 87093557. The reversal of 87093552 is 25539078.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 87093552.

It is not an unprimeable number, because it can be changed into a prime (87093551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554658 + ... + 554814.

Almost surely, 2^87093552 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 87093552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140435456).

87093552 is an abundant number, since it is smaller than the sum of its proper divisors (193777360).

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

87093552 is a wasteful number, since it uses less digits than its factorization.

87093552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 87093552 is about 9332.3926192590. The cubic root of 87093552 is about 443.2635303195.

The spelling of 87093552 in words is "eighty-seven million, ninety-three thousand, five hundred fifty-two".