85479040 has 64 divisors (see below), whose sum is σ = 213269760. Its totient is φ = 32699392.

The previous prime is 85479029. The next prime is 85479049. The reversal of 85479040 is 4097458.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (85479049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11817 + ... + 17623.

It is an arithmetic number, because the mean of its divisors is an integer number (3332340).

Almost surely, 2^85479040 is an apocalyptic number.

85479040 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 85479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106634880).

85479040 is an abundant number, since it is smaller than the sum of its proper divisors (127790720).

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

85479040 is a wasteful number, since it uses less digits than its factorization.

85479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5849 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 85479040 is about 9245.4875479879. The cubic root of 85479040 is about 440.5074036230.

The spelling of 85479040 in words is "eighty-five million, four hundred seventy-nine thousand, forty".