85148320 has 48 divisors (see below), whose sum is σ = 207664128. Its totient is φ = 32958720.

The previous prime is 85148311. The next prime is 85148341. The reversal of 85148320 is 2384158.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3624 + ... + 13543.

It is an arithmetic number, because the mean of its divisors is an integer number (4326336).

Almost surely, 2^85148320 is an apocalyptic number.

85148320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85148320 is an abundant number, since it is smaller than the sum of its proper divisors (122515808).

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

85148320 is a wasteful number, since it uses less digits than its factorization.

85148320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17213 (or 17205 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 85148320 is about 9227.5847327456. The cubic root of 85148320 is about 439.9385589140.

The spelling of 85148320 in words is "eighty-five million, one hundred forty-eight thousand, three hundred twenty".