85742064 has 70 divisors (see below), whose sum is σ = 249107816. Its totient is φ = 28576800.

The previous prime is 85742039. The next prime is 85742089. The reversal of 85742064 is 46024758.

85742064 is a `hidden beast` number, since 8 + 574 + 20 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (85742039) and next prime (85742089).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7989 + ... + 15339.

Almost surely, 2^85742064 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 85742064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124553908).

85742064 is an abundant number, since it is smaller than the sum of its proper divisors (163365752).

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

85742064 is an equidigital number, since it uses as much as digits as its factorization.

85742064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7377 (or 7356 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 85742064 is about 9259.7010750888. The cubic root of 85742064 is about 440.9587633245.

The spelling of 85742064 in words is "eighty-five million, seven hundred forty-two thousand, sixty-four".