87358464 has 66 divisors (see below), whose sum is σ = 252272280. Its totient is φ = 29116416.

The previous prime is 87358463. The next prime is 87358493. The reversal of 87358464 is 46485378.

87358464 is a `hidden beast` number, since 8 + 7 + 3 + 584 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87358463) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4477 + ... + 13955.

Almost surely, 2^87358464 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 87358464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126136140).

87358464 is an abundant number, since it is smaller than the sum of its proper divisors (164913816).

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

87358464 is a wasteful number, since it uses less digits than its factorization.

87358464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9505 (or 9484 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 87358464 is about 9346.5749876626. The cubic root of 87358464 is about 443.7124995355.

Subtracting from 87358464 its product of digits (645120), we obtain a square (86713344 = 9312²).

The spelling of 87358464 in words is "eighty-seven million, three hundred fifty-eight thousand, four hundred sixty-four".