287672160 has 96 divisors (see below), whose sum is σ = 953890560. Its totient is φ = 72672768.

The previous prime is 287672149. The next prime is 287672171. The reversal of 287672160 is 61276782.

It is an interprime number because it is at equal distance from previous prime (287672149) and next prime (287672171).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6652 + ... + 24891.

It is an arithmetic number, because the mean of its divisors is an integer number (9936360).

Almost surely, 2^287672160 is an apocalyptic number.

287672160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

287672160 is an abundant number, since it is smaller than the sum of its proper divisors (666218400).

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

287672160 is a wasteful number, since it uses less digits than its factorization.

287672160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31580 (or 31572 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 287672160 is about 16960.9009194677. The cubic root of 287672160 is about 660.1347750476.

The spelling of 287672160 in words is "two hundred eighty-seven million, six hundred seventy-two thousand, one hundred sixty".