87477520 has 120 divisors (see below), whose sum is σ = 232157016. Its totient is φ = 30468096.

The previous prime is 87477517. The next prime is 87477541. The reversal of 87477520 is 2577478.

It can be written as a sum of positive squares in 4 ways, for example, as 92416 + 87385104 = 304^2 + 9348^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375324 + ... + 375556.

Almost surely, 2^87477520 is an apocalyptic number.

87477520 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 87477520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116078508).

87477520 is an abundant number, since it is smaller than the sum of its proper divisors (144679496).

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

87477520 is a wasteful number, since it uses less digits than its factorization.

87477520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 40.

The square root of 87477520 is about 9352.9417832038. The cubic root of 87477520 is about 443.9139784112.

The spelling of 87477520 in words is "eighty-seven million, four hundred seventy-seven thousand, five hundred twenty".