85224480 has 96 divisors (see below), whose sum is σ = 292880448. Its totient is φ = 20659200.

The previous prime is 85224479. The next prime is 85224509. The reversal of 85224480 is 8442258.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2791 + ... + 13350.

It is an arithmetic number, because the mean of its divisors is an integer number (3050838).

Almost surely, 2^85224480 is an apocalyptic number.

85224480 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 85224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146440224).

85224480 is an abundant number, since it is smaller than the sum of its proper divisors (207655968).

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

85224480 is a wasteful number, since it uses less digits than its factorization.

85224480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16170 (or 16162 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 85224480 is about 9231.7105673867. The cubic root of 85224480 is about 440.0696859325.

The spelling of 85224480 in words is "eighty-five million, two hundred twenty-four thousand, four hundred eighty".