87048960 has 72 divisors (see below), whose sum is σ = 278024880. Its totient is φ = 23212032.

The previous prime is 87048947. The next prime is 87048991. The reversal of 87048960 is 6984078.

87048960 = 3106² + 3107² + ... + 3114².

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7495 + ... + 15174.

Almost surely, 2^87048960 is an apocalyptic number.

87048960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87048960 is an abundant number, since it is smaller than the sum of its proper divisors (190975920).

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

87048960 is a wasteful number, since it uses less digits than its factorization.

87048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22693 (or 22679 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 87048960 is about 9330.0032154335. The cubic root of 87048960 is about 443.1878669236.

The spelling of 87048960 in words is "eighty-seven million, forty-eight thousand, nine hundred sixty".