87734460 has 96 divisors (see below), whose sum is σ = 269482752. Its totient is φ = 21150720.

The previous prime is 87734453. The next prime is 87734497. The reversal of 87734460 is 6443778.

It is a happy number.

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, 202404 + ... + 202836.

It is an arithmetic number, because the mean of its divisors is an integer number (2807112).

Almost surely, 2^87734460 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 87734460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134741376).

87734460 is an abundant number, since it is smaller than the sum of its proper divisors (181748292).

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

87734460 is a wasteful number, since it uses less digits than its factorization.

87734460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 87734460 is about 9366.6674970344. The cubic root of 87734460 is about 444.3481766960.

The spelling of 87734460 in words is "eighty-seven million, seven hundred thirty-four thousand, four hundred sixty".