87812208 has 160 divisors (see below), whose sum is σ = 291409920. Its totient is φ = 25021440.

The previous prime is 87812173. The next prime is 87812251. The reversal of 87812208 is 80221878.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80241 + ... + 81327.

It is an arithmetic number, because the mean of its divisors is an integer number (1821312).

Almost surely, 2^87812208 is an apocalyptic number.

87812208 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 87812208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145704960).

87812208 is an abundant number, since it is smaller than the sum of its proper divisors (203597712).

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

87812208 is a wasteful number, since it uses less digits than its factorization.

87812208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 87812208 is about 9370.8168267233. The cubic root of 87812208 is about 444.4793945478.

The spelling of 87812208 in words is "eighty-seven million, eight hundred twelve thousand, two hundred eight".