85034880 has 512 divisors, whose sum is σ = 372096000. Its totient is φ = 17915904.

The previous prime is 85034879. The next prime is 85034909. The reversal of 85034880 is 8843058.

It is a super-2 number, since 2×85034880² = 14461861633228800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2298222 + ... + 2298258.

It is an arithmetic number, because the mean of its divisors is an integer number (726750).

Almost surely, 2^85034880 is an apocalyptic number.

85034880 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 85034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186048000).

85034880 is an abundant number, since it is smaller than the sum of its proper divisors (287061120).

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

85034880 is a wasteful number, since it uses less digits than its factorization.

85034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85034880 is about 9221.4358968655. The cubic root of 85034880 is about 439.7431007242.

The spelling of 85034880 in words is "eighty-five million, thirty-four thousand, eight hundred eighty".