87408208 has 60 divisors (see below), whose sum is σ = 184015380. Its totient is φ = 40186368.

The previous prime is 87408199. The next prime is 87408241. The reversal of 87408208 is 80280478.

It can be written as a sum of positive squares in 2 ways, for example, as 79067664 + 8340544 = 8892^2 + 2888^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213508 + ... + 213916.

It is an arithmetic number, because the mean of its divisors is an integer number (3066923).

Almost surely, 2^87408208 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 87408208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92007690).

87408208 is an abundant number, since it is smaller than the sum of its proper divisors (96607172).

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

87408208 is a wasteful number, since it uses less digits than its factorization.

87408208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 87408208 is about 9349.2356906862. The cubic root of 87408208 is about 443.7967037268.

It can be divided in two parts, 87408 and 208, that added together give a square (87616 = 296²).

The spelling of 87408208 in words is "eighty-seven million, four hundred eight thousand, two hundred eight".