87279360 has 288 divisors, whose sum is σ = 339075072. Its totient is φ = 18677760.

The previous prime is 87279323. The next prime is 87279371. The reversal of 87279360 is 6397278.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 456865 + ... + 457055.

It is an arithmetic number, because the mean of its divisors is an integer number (1177344).

Almost surely, 2^87279360 is an apocalyptic number.

87279360 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 87279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169537536).

87279360 is an abundant number, since it is smaller than the sum of its proper divisors (251795712).

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

87279360 is a wasteful number, since it uses less digits than its factorization.

87279360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 87279360 is about 9342.3423187122. The cubic root of 87279360 is about 443.5785303256.

The spelling of 87279360 in words is "eighty-seven million, two hundred seventy-nine thousand, three hundred sixty".