87759936 has 252 divisors, whose sum is σ = 299953680. Its totient is φ = 25194240.

The previous prime is 87759911. The next prime is 87759961. The reversal of 87759936 is 63995778.

It is an interprime number because it is at equal distance from previous prime (87759911) and next prime (87759961).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2857680) is a multiple of the sum of its prime divisors (35).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4618935 + ... + 4618953.

Almost surely, 2^87759936 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 87759936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149976840).

87759936 is an abundant number, since it is smaller than the sum of its proper divisors (212193744).

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

87759936 is an equidigital number, since it uses as much as digits as its factorization.

87759936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 35 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 87759936 is about 9368.0273270310. The cubic root of 87759936 is about 444.3911819135.

The spelling of 87759936 in words is "eighty-seven million, seven hundred fifty-nine thousand, nine hundred thirty-six".