87093280 has 48 divisors (see below), whose sum is σ = 206743320. Its totient is φ = 34670592.

The previous prime is 87093247. The next prime is 87093287. The reversal of 87093280 is 8239078.

It can be written as a sum of positive squares in 4 ways, for example, as 81504784 + 5588496 = 9028^2 + 2364^2 .

It is not an unprimeable number, because it can be changed into a prime (87093287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35452 + ... + 37828.

Almost surely, 2^87093280 is an apocalyptic number.

87093280 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 87093280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103371660).

87093280 is an abundant number, since it is smaller than the sum of its proper divisors (119650040).

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

87093280 is a wasteful number, since it uses less digits than its factorization.

87093280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 87093280 is about 9332.3780463502. The cubic root of 87093280 is about 443.2630688701.

The spelling of 87093280 in words is "eighty-seven million, ninety-three thousand, two hundred eighty".