85014400 has 96 divisors (see below), whose sum is σ = 217039680. Its totient is φ = 32870400.

The previous prime is 85014383. The next prime is 85014403. The reversal of 85014400 is 441058.

It is a cake number, because a cake can be divided into 85014400 parts by 799 planar cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85014403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98772 + ... + 99628.

It is an arithmetic number, because the mean of its divisors is an integer number (2260830).

Almost surely, 2^85014400 is an apocalyptic number.

85014400 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 85014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108519840).

85014400 is an abundant number, since it is smaller than the sum of its proper divisors (132025280).

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

85014400 is a wasteful number, since it uses less digits than its factorization.

85014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 85014400 is about 9220.3253738683. The cubic root of 85014400 is about 439.7077949696.

Adding to 85014400 its reverse (441058), we get a palindrome (85455458).

The spelling of 85014400 in words is "eighty-five million, fourteen thousand, four hundred".