85074080 has 96 divisors (see below), whose sum is σ = 247411584. Its totient is φ = 26919936.

The previous prime is 85074053. The next prime is 85074107. The reversal of 85074080 is 8047058.

It is an interprime number because it is at equal distance from previous prime (85074053) and next prime (85074107).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11639 + ... + 17481.

It is an arithmetic number, because the mean of its divisors is an integer number (2577204).

Almost surely, 2^85074080 is an apocalyptic number.

85074080 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 85074080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123705792).

85074080 is an abundant number, since it is smaller than the sum of its proper divisors (162337504).

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

85074080 is a wasteful number, since it uses less digits than its factorization.

85074080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878 (or 5870 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 85074080 is about 9223.5611343992. The cubic root of 85074080 is about 439.8106623389.

The spelling of 85074080 in words is "eighty-five million, seventy-four thousand, eighty".