85612400 has 30 divisors (see below), whose sum is σ = 205684752. Its totient is φ = 34244800.

The previous prime is 85612367. The next prime is 85612403. The reversal of 85612400 is 421658.

It is a self number, because there is not a number n which added to its sum of digits gives 85612400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85612403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 106616 + ... + 107415.

Almost surely, 2^85612400 is an apocalyptic number.

85612400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85612400 is an abundant number, since it is smaller than the sum of its proper divisors (120072352).

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

85612400 is a wasteful number, since it uses less digits than its factorization.

85612400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214049 (or 214038 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 85612400 is about 9252.6969041464. The cubic root of 85612400 is about 440.7363702521.

The spelling of 85612400 in words is "eighty-five million, six hundred twelve thousand, four hundred".