85740400 has 30 divisors (see below), whose sum is σ = 205992272. Its totient is φ = 34296000.

The previous prime is 85740383. The next prime is 85740419. The reversal of 85740400 is 404758.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106776 + ... + 107575.

Almost surely, 2^85740400 is an apocalyptic number.

85740400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85740400 is an abundant number, since it is smaller than the sum of its proper divisors (120251872).

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

85740400 is a wasteful number, since it uses less digits than its factorization.

85740400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214369 (or 214358 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 85740400 is about 9259.6112229402. The cubic root of 85740400 is about 440.9559107374.

The spelling of 85740400 in words is "eighty-five million, seven hundred forty thousand, four hundred".