85694400 has 252 divisors, whose sum is σ = 332881224. Its totient is φ = 20736000.

The previous prime is 85694353. The next prime is 85694417. The reversal of 85694400 is 449658.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158130 + ... + 158670.

Almost surely, 2^85694400 is an apocalyptic number.

85694400 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 85694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166440612).

85694400 is an abundant number, since it is smaller than the sum of its proper divisors (247186824).

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

85694400 is a wasteful number, since it uses less digits than its factorization.

85694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85694400 is about 9257.1269841134. The cubic root of 85694400 is about 440.8770385432.

The spelling of 85694400 in words is "eighty-five million, six hundred ninety-four thousand, four hundred".