87645888 has 280 divisors, whose sum is σ = 298734480. Its totient is φ = 25159680.

The previous prime is 87645869. The next prime is 87645907. The reversal of 87645888 is 88854678.

It is an interprime number because it is at equal distance from previous prime (87645869) and next prime (87645907).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1653670 + ... + 1653722.

Almost surely, 2^87645888 is an apocalyptic number.

87645888 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 87645888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149367240).

87645888 is an abundant number, since it is smaller than the sum of its proper divisors (211088592).

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

87645888 is a wasteful number, since it uses less digits than its factorization.

87645888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 98 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 87645888 is about 9361.9382608518. The cubic root of 87645888 is about 444.1985963285.

It can be divided in two parts, 876 and 45888, that added together give a palindrome (46764).

The spelling of 87645888 in words is "eighty-seven million, six hundred forty-five thousand, eight hundred eighty-eight".