85745364 has 48 divisors (see below), whose sum is σ = 203575680. Its totient is φ = 28086400.

The previous prime is 85745353. The next prime is 85745369. The reversal of 85745364 is 46354758.

85745364 = T₄₃₉ + T₄₄₀ + ... + T₈₄₂.

Its product of digits (403200) is a multiple of the sum of its prime factors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85745369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318622 + ... + 318890.

It is an arithmetic number, because the mean of its divisors is an integer number (4241160).

Almost surely, 2^85745364 is an apocalyptic number.

It is an amenable number.

85745364 is an abundant number, since it is smaller than the sum of its proper divisors (117830316).

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

85745364 is a wasteful number, since it uses less digits than its factorization.

85745364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 638 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 85745364 is about 9259.8792648717. The cubic root of 85745364 is about 440.9644203894.

The spelling of 85745364 in words is "eighty-five million, seven hundred forty-five thousand, three hundred sixty-four".