87173280 has 192 divisors, whose sum is σ = 323326080. Its totient is φ = 21860352.

The previous prime is 87173279. The next prime is 87173291. The reversal of 87173280 is 8237178.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72847 + ... + 74033.

It is an arithmetic number, because the mean of its divisors is an integer number (1683990).

Almost surely, 2^87173280 is an apocalyptic number.

87173280 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 87173280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161663040).

87173280 is an abundant number, since it is smaller than the sum of its proper divisors (236152800).

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

87173280 is a wasteful number, since it uses less digits than its factorization.

87173280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 87173280 is about 9336.6632155176. The cubic root of 87173280 is about 443.3987478930.

The spelling of 87173280 in words is "eighty-seven million, one hundred seventy-three thousand, two hundred eighty".