87279120 has 100 divisors (see below), whose sum is σ = 303155820. Its totient is φ = 23272704.

The previous prime is 87279107. The next prime is 87279149. The reversal of 87279120 is 2197278.

It can be written as a sum of positive squares in 2 ways, for example, as 43401744 + 43877376 = 6588^2 + 6624^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 255 + ... + 13214.

Almost surely, 2^87279120 is an apocalyptic number.

87279120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87279120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151577910).

87279120 is an abundant number, since it is smaller than the sum of its proper divisors (215876700).

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

87279120 is a wasteful number, since it uses less digits than its factorization.

87279120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13494 (or 13479 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 87279120 is about 9342.3294739588. The cubic root of 87279120 is about 443.5781237425.

The spelling of 87279120 in words is "eighty-seven million, two hundred seventy-nine thousand, one hundred twenty".