87522080 has 48 divisors (see below), whose sum is σ = 210692664. Its totient is φ = 34344960.

The previous prime is 87522079. The next prime is 87522101. The reversal of 87522080 is 8022578.

It can be written as a sum of positive squares in 4 ways, for example, as 78925456 + 8596624 = 8884^2 + 2932^2 .

It is a super-3 number, since 3×87522080³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3320 + ... + 13640.

Almost surely, 2^87522080 is an apocalyptic number.

87522080 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 87522080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105346332).

87522080 is an abundant number, since it is smaller than the sum of its proper divisors (123170584).

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

87522080 is a wasteful number, since it uses less digits than its factorization.

87522080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10389 (or 10381 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 87522080 is about 9355.3236181332. The cubic root of 87522080 is about 443.9893404361.

The spelling of 87522080 in words is "eighty-seven million, five hundred twenty-two thousand, eighty".