85346064 has 30 divisors (see below), whose sum is σ = 238850846. Its totient is φ = 28448640.

The previous prime is 85346057. The next prime is 85346071. The reversal of 85346064 is 46064358.

85346064 is a `hidden beast` number, since 8 + 534 + 60 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (85346057) and next prime (85346071).

It can be written as a sum of positive squares in only one way, i.e., 72386064 + 12960000 = 8508^2 + 3600^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 296197 + ... + 296484.

Almost surely, 2^85346064 is an apocalyptic number.

It is an amenable number.

85346064 is an abundant number, since it is smaller than the sum of its proper divisors (153504782).

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

85346064 is a wasteful number, since it uses less digits than its factorization.

85346064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592695 (or 592686 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 85346064 is about 9238.2933488821. The cubic root of 85346064 is about 440.2788590427.

The spelling of 85346064 in words is "eighty-five million, three hundred forty-six thousand, sixty-four".