85749560 has 64 divisors (see below), whose sum is σ = 209926080. Its totient is φ = 31334400.

The previous prime is 85749551. The next prime is 85749563. The reversal of 85749560 is 6594758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85749563) 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, 52760 + ... + 54360.

It is an arithmetic number, because the mean of its divisors is an integer number (3280095).

Almost surely, 2^85749560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85749560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104963040).

85749560 is an abundant number, since it is smaller than the sum of its proper divisors (124176520).

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

85749560 is a wasteful number, since it uses less digits than its factorization.

85749560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 85749560 is about 9260.1058309287. The cubic root of 85749560 is about 440.9716132235.

The spelling of 85749560 in words is "eighty-five million, seven hundred forty-nine thousand, five hundred sixty".