87365760 has 64 divisors (see below), whose sum is σ = 278484480. Its totient is φ = 23297024.

The previous prime is 87365749. The next prime is 87365767. The reversal of 87365760 is 6756378.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (87365767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20832 + ... + 24671.

It is an arithmetic number, because the mean of its divisors is an integer number (4351320).

Almost surely, 2^87365760 is an apocalyptic number.

87365760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87365760 is an abundant number, since it is smaller than the sum of its proper divisors (191118720).

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

87365760 is a wasteful number, since it uses less digits than its factorization.

87365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45525 (or 45513 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 87365760 is about 9346.9652829140. The cubic root of 87365760 is about 443.7248518447.

The spelling of 87365760 in words is "eighty-seven million, three hundred sixty-five thousand, seven hundred sixty".