87226560 has 168 divisors, whose sum is σ = 310018176. Its totient is φ = 22487040.

The previous prime is 87226547. The next prime is 87226561. The reversal of 87226560 is 6562278.

87226560 is a `hidden beast` number, since 8 + 72 + 26 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (87226561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88792 + ... + 89768.

Almost surely, 2^87226560 is an apocalyptic number.

87226560 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 87226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155009088).

87226560 is an abundant number, since it is smaller than the sum of its proper divisors (222791616).

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

87226560 is a wasteful number, since it uses less digits than its factorization.

87226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 87226560 is about 9339.5160474192. The cubic root of 87226560 is about 443.4890640766.

The spelling of 87226560 in words is "eighty-seven million, two hundred twenty-six thousand, five hundred sixty".