87947460 has 144 divisors (see below), whose sum is σ = 289768752. Its totient is φ = 21504000.

The previous prime is 87947449. The next prime is 87947521. The reversal of 87947460 is 6474978.

It can be written as a sum of positive squares in 8 ways, for example, as 576 + 87946884 = 24^2 + 9378^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125110 + ... + 125810.

It is an arithmetic number, because the mean of its divisors is an integer number (2012283).

Almost surely, 2^87947460 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 87947460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144884376).

87947460 is an abundant number, since it is smaller than the sum of its proper divisors (201821292).

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

87947460 is a wasteful number, since it uses less digits than its factorization.

87947460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 87947460 is about 9378.0307101225. The cubic root of 87947460 is about 444.7074793440.

The spelling of 87947460 in words is "eighty-seven million, nine hundred forty-seven thousand, four hundred sixty".