87358656 has 224 divisors, whose sum is σ = 304312320. Its totient is φ = 21427200.

The previous prime is 87358639. The next prime is 87358657. The reversal of 87358656 is 65685378.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87358657) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 280741 + ... + 281051.

Almost surely, 2^87358656 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 87358656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152156160).

87358656 is an abundant number, since it is smaller than the sum of its proper divisors (216953664).

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

87358656 is a wasteful number, since it uses less digits than its factorization.

87358656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 87358656 is about 9346.5852587991. The cubic root of 87358656 is about 443.7128246051.

It can be divided in two parts, 8735 and 8656, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 87358656 in words is "eighty-seven million, three hundred fifty-eight thousand, six hundred fifty-six".