87567480 has 512 divisors, whose sum is σ = 396748800. Its totient is φ = 16796160.

The previous prime is 87567461. The next prime is 87567497. The reversal of 87567480 is 8476578.

87567480 is a `hidden beast` number, since 8 + 7 + 567 + 4 + 80 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 585 × 297 × 504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6735954 + ... + 6735966.

It is an arithmetic number, because the mean of its divisors is an integer number (774900).

Almost surely, 2^87567480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87567480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198374400).

87567480 is an abundant number, since it is smaller than the sum of its proper divisors (309181320).

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

87567480 is a wasteful number, since it uses less digits than its factorization.

87567480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 41 counting only the distinct ones).

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

The square root of 87567480 is about 9357.7497295023. The cubic root of 87567480 is about 444.0660968071.

The spelling of 87567480 in words is "eighty-seven million, five hundred sixty-seven thousand, four hundred eighty".