85722560 has 224 divisors, whose sum is σ = 263347200. Its totient is φ = 26342400.

The previous prime is 85722557. The next prime is 85722577. The reversal of 85722560 is 6522758.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 85722560.

It is a congruent number.

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, 1207325 + ... + 1207395.

Almost surely, 2^85722560 is an apocalyptic number.

85722560 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 85722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131673600).

85722560 is an abundant number, since it is smaller than the sum of its proper divisors (177624640).

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

85722560 is a wasteful number, since it uses less digits than its factorization.

85722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 85722560 is about 9258.6478494432. The cubic root of 85722560 is about 440.9253253925.

The spelling of 85722560 in words is "eighty-five million, seven hundred twenty-two thousand, five hundred sixty".