87970560 has 144 divisors (see below), whose sum is σ = 290411520. Its totient is φ = 22671360.

The previous prime is 87970559. The next prime is 87970573. The reversal of 87970560 is 6507978.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118671 + ... + 119409.

Almost surely, 2^87970560 is an apocalyptic number.

87970560 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 87970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145205760).

87970560 is an abundant number, since it is smaller than the sum of its proper divisors (202440960).

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

87970560 is a wasteful number, since it uses less digits than its factorization.

87970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 87970560 is about 9379.2622311139. The cubic root of 87970560 is about 444.7464110862.

The spelling of 87970560 in words is "eighty-seven million, nine hundred seventy thousand, five hundred sixty".