87764688 has 240 divisors, whose sum is σ = 292897920. Its totient is φ = 25090560.

The previous prime is 87764687. The next prime is 87764731. The reversal of 87764688 is 88646778.

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

Its product of digits (3612672) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87764687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1202220 + ... + 1202292.

It is an arithmetic number, because the mean of its divisors is an integer number (1220408).

Almost surely, 2^87764688 is an apocalyptic number.

87764688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87764688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146448960).

87764688 is an abundant number, since it is smaller than the sum of its proper divisors (205133232).

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

87764688 is a wasteful number, since it uses less digits than its factorization.

87764688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 87764688 is about 9368.2809522345. The cubic root of 87764688 is about 444.3992026911.

The spelling of 87764688 in words is "eighty-seven million, seven hundred sixty-four thousand, six hundred eighty-eight".