87357312 has 256 divisors, whose sum is σ = 309427200. Its totient is φ = 23721984.

The previous prime is 87357301. The next prime is 87357313. The reversal of 87357312 is 21375378.

87357312 is a `hidden beast` number, since 8 + 73 + 573 + 12 = 666.

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

Its product of digits (35280) is a multiple of the sum of its prime factors (210).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87357313) 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, 556338 + ... + 556494.

It is an arithmetic number, because the mean of its divisors is an integer number (1208700).

Almost surely, 2^87357312 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 87357312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154713600).

87357312 is an abundant number, since it is smaller than the sum of its proper divisors (222069888).

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

87357312 is a wasteful number, since it uses less digits than its factorization.

87357312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 87357312 is about 9346.5133606067. The cubic root of 87357312 is about 443.7105491080.

It can be divided in two parts, 873 and 57312, that added together give a palindrome (58185).

The spelling of 87357312 in words is "eighty-seven million, three hundred fifty-seven thousand, three hundred twelve".