85734420 has 48 divisors (see below), whose sum is σ = 242547648. Its totient is φ = 22625280.

The previous prime is 85734401. The next prime is 85734421. The reversal of 85734420 is 2443758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85734421) 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, 1546 + ... + 13185.

It is an arithmetic number, because the mean of its divisors is an integer number (5053076).

Almost surely, 2^85734420 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 85734420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121273824).

85734420 is an abundant number, since it is smaller than the sum of its proper divisors (156813228).

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

85734420 is a wasteful number, since it uses less digits than its factorization.

85734420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14840 (or 14838 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 85734420 is about 9259.2883095841. The cubic root of 85734420 is about 440.9456589477.

The spelling of 85734420 in words is "eighty-five million, seven hundred thirty-four thousand, four hundred twenty".