87321792 has 112 divisors (see below), whose sum is σ = 252813312. Its totient is φ = 26480640.

The previous prime is 87321791. The next prime is 87321799. The reversal of 87321792 is 29712378.

It is a self number, because there is not a number n which added to its sum of digits gives 87321792.

It is not an unprimeable number, because it can be changed into a prime (87321791) 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 15 ways as a sum of consecutive naturals, for example, 100753 + ... + 101615.

Almost surely, 2^87321792 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 87321792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126406656).

87321792 is an abundant number, since it is smaller than the sum of its proper divisors (165491520).

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

87321792 is a wasteful number, since it uses less digits than its factorization.

87321792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 916 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 87321792 is about 9344.6129935915. The cubic root of 87321792 is about 443.6504025103.

The spelling of 87321792 in words is "eighty-seven million, three hundred twenty-one thousand, seven hundred ninety-two".