87682560 has 240 divisors, whose sum is σ = 327474576. Its totient is φ = 19955712.

The previous prime is 87682513. The next prime is 87682571. The reversal of 87682560 is 6528678.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 376204 + ... + 376436.

Almost surely, 2^87682560 is an apocalyptic number.

87682560 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 87682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163737288).

87682560 is an abundant number, since it is smaller than the sum of its proper divisors (239792016).

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

87682560 is a wasteful number, since it uses less digits than its factorization.

87682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 87682560 is about 9363.8966248032. The cubic root of 87682560 is about 444.2605402101.

It can be divided in two parts, 876 and 82560, that added together give a triangular number (83436 = T₄₀₈).

The spelling of 87682560 in words is "eighty-seven million, six hundred eighty-two thousand, five hundred sixty".