85224960 has 240 divisors, whose sum is σ = 308324016. Its totient is φ = 22560768.

The previous prime is 85224947. The next prime is 85224977. The reversal of 85224960 is 6942258.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622012 + ... + 622148.

Almost surely, 2^85224960 is an apocalyptic number.

85224960 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 85224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154162008).

85224960 is an abundant number, since it is smaller than the sum of its proper divisors (223099056).

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

85224960 is an equidigital number, since it uses as much as digits as its factorization.

85224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85224960 is about 9231.7365646990. The cubic root of 85224960 is about 440.0705121155.

The spelling of 85224960 in words is "eighty-five million, two hundred twenty-four thousand, nine hundred sixty".