87992460 has 96 divisors (see below), whose sum is σ = 279659520. Its totient is φ = 22958784.

The previous prime is 87992449. The next prime is 87992473. The reversal of 87992460 is 6429978.

It is a happy number.

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

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 31 ways as a sum of consecutive naturals, for example, 23647 + ... + 27113.

It is an arithmetic number, because the mean of its divisors is an integer number (2913120).

Almost surely, 2^87992460 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 87992460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139829760).

87992460 is an abundant number, since it is smaller than the sum of its proper divisors (191667060).

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

87992460 is a wasteful number, since it uses less digits than its factorization.

87992460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 87992460 is about 9380.4296276876. The cubic root of 87992460 is about 444.7833141072.

It can be divided in two parts, 879 and 92460, that added together give a palindrome (93339).

The spelling of 87992460 in words is "eighty-seven million, nine hundred ninety-two thousand, four hundred sixty".