85294800 has 360 divisors, whose sum is σ = 329815200. Its totient is φ = 20321280.

The previous prime is 85294793. The next prime is 85294813. The reversal of 85294800 is 849258.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 1983579 + ... + 1983621.

Almost surely, 2^85294800 is an apocalyptic number.

85294800 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 85294800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164907600).

85294800 is an abundant number, since it is smaller than the sum of its proper divisors (244520400).

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

85294800 is a wasteful number, since it uses less digits than its factorization.

85294800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 85294800 is about 9235.5183936799. The cubic root of 85294800 is about 440.1906886966.

The spelling of 85294800 in words is "eighty-five million, two hundred ninety-four thousand, eight hundred".