87642360 has 192 divisors, whose sum is σ = 312792480. Its totient is φ = 21150720.

The previous prime is 87642343. The next prime is 87642371. The reversal of 87642360 is 6324678.

87642360 is a `hidden beast` number, since 8 + 7 + 642 + 3 + 6 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285327 + ... + 285633.

Almost surely, 2^87642360 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 87642360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

87642360 is an abundant number, since it is smaller than the sum of its proper divisors (225150120).

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

87642360 is a wasteful number, since it uses less digits than its factorization.

87642360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 87642360 is about 9361.7498364355. The cubic root of 87642360 is about 444.1926361566.

The spelling of 87642360 in words is "eighty-seven million, six hundred forty-two thousand, three hundred sixty".