87046560 has 72 divisors (see below), whose sum is σ = 297051300. Its totient is φ = 23212032.

The previous prime is 87046537. The next prime is 87046571. The reversal of 87046560 is 6564078.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 79495056 + 7551504 = 8916^2 + 2748^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28785 + ... + 31664.

Almost surely, 2^87046560 is an apocalyptic number.

87046560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87046560 is an abundant number, since it is smaller than the sum of its proper divisors (210004740).

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

87046560 is a wasteful number, since it uses less digits than its factorization.

87046560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60470 (or 60459 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 87046560 is about 9329.8745972280. The cubic root of 87046560 is about 443.1837938876.

The spelling of 87046560 in words is "eighty-seven million, forty-six thousand, five hundred sixty".