87153280 has 32 divisors (see below), whose sum is σ = 208352340. Its totient is φ = 34861056.

The previous prime is 87153277. The next prime is 87153289. The reversal of 87153280 is 8235178.

It can be written as a sum of positive squares in 2 ways, for example, as 78996544 + 8156736 = 8888^2 + 2856^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (87153289) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 67449 + ... + 68728.

Almost surely, 2^87153280 is an apocalyptic number.

87153280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87153280 is an abundant number, since it is smaller than the sum of its proper divisors (121199060).

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

87153280 is a wasteful number, since it uses less digits than its factorization.

87153280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136196 (or 136184 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 87153280 is about 9335.5921076277. The cubic root of 87153280 is about 443.3648359220.

The spelling of 87153280 in words is "eighty-seven million, one hundred fifty-three thousand, two hundred eighty".