87415344 has 60 divisors (see below), whose sum is σ = 248812200. Its totient is φ = 28641792.

The previous prime is 87415313. The next prime is 87415357. The reversal of 87415344 is 44351478.

87415344 is a `hidden beast` number, since 87 + 41 + 534 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 87415299 and 87415308.

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 11 ways as a sum of consecutive naturals, for example, 3352 + ... + 13640.

It is an arithmetic number, because the mean of its divisors is an integer number (4146870).

Almost surely, 2^87415344 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 87415344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124406100).

87415344 is an abundant number, since it is smaller than the sum of its proper divisors (161396856).

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

87415344 is a wasteful number, since it uses less digits than its factorization.

87415344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10362 (or 10353 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 87415344 is about 9349.6173183719. The cubic root of 87415344 is about 443.8087805755.

The spelling of 87415344 in words is "eighty-seven million, four hundred fifteen thousand, three hundred forty-four".