87275520 has 144 divisors (see below), whose sum is σ = 302800680. Its totient is φ = 23248896.

The previous prime is 87275519. The next prime is 87275527. The reversal of 87275520 is 2557278.

87275520 is a `hidden beast` number, since 87 + 27 + 552 + 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 (87275527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91687 + ... + 92633.

Almost surely, 2^87275520 is an apocalyptic number.

87275520 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 87275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151400340).

87275520 is an abundant number, since it is smaller than the sum of its proper divisors (215525160).

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

87275520 is a wasteful number, since it uses less digits than its factorization.

87275520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 87275520 is about 9342.1368005398. The cubic root of 87275520 is about 443.5720249062.

The spelling of 87275520 in words is "eighty-seven million, two hundred seventy-five thousand, five hundred twenty".