87225760 has 24 divisors (see below), whose sum is σ = 206071236. Its totient is φ = 34890240.

The previous prime is 87225709. The next prime is 87225767. The reversal of 87225760 is 6752278.

It can be written as a sum of positive squares in 2 ways, for example, as 85451536 + 1774224 = 9244^2 + 1332^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (87225767) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 272421 + ... + 272740.

Almost surely, 2^87225760 is an apocalyptic number.

87225760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87225760 is an abundant number, since it is smaller than the sum of its proper divisors (118845476).

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

87225760 is a wasteful number, since it uses less digits than its factorization.

87225760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545176 (or 545168 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 87225760 is about 9339.4732185493. The cubic root of 87225760 is about 443.4877082498.

The spelling of 87225760 in words is "eighty-seven million, two hundred twenty-five thousand, seven hundred sixty".