87125760 has 144 divisors (see below), whose sum is σ = 309298080. Its totient is φ = 23224320.

The previous prime is 87125729. The next prime is 87125767. The reversal of 87125760 is 6752178.

87125760 is a `hidden beast` number, since 87 + 1 + 2 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87125767) 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 15 ways as a sum of consecutive naturals, for example, 33300 + ... + 35820.

Almost surely, 2^87125760 is an apocalyptic number.

87125760 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 87125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154649040).

87125760 is an abundant number, since it is smaller than the sum of its proper divisors (222172320).

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

87125760 is a wasteful number, since it uses less digits than its factorization.

87125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 87125760 is about 9334.1180622488. The cubic root of 87125760 is about 443.3181645679.

The spelling of 87125760 in words is "eighty-seven million, one hundred twenty-five thousand, seven hundred sixty".