87874560 has 132 divisors (see below), whose sum is σ = 304642728. Its totient is φ = 23420928.

The previous prime is 87874543. The next prime is 87874571. The reversal of 87874560 is 6547878.

87874560 is a `hidden beast` number, since 8 + 7 + 87 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 45127 + ... + 47033.

Almost surely, 2^87874560 is an apocalyptic number.

87874560 is a gapful number since it is divisible by the number (80) 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 87874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152321364).

87874560 is an abundant number, since it is smaller than the sum of its proper divisors (216768168).

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

87874560 is a wasteful number, since it uses less digits than its factorization.

87874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 87874560 is about 9374.1431608441. The cubic root of 87874560 is about 444.5845721112.

The spelling of 87874560 in words is "eighty-seven million, eight hundred seventy-four thousand, five hundred sixty".