85149064 has 160 divisors (see below), whose sum is σ = 225872640. Its totient is φ = 29635200.

The previous prime is 85149061. The next prime is 85149067. The reversal of 85149064 is 46094158.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85149061) and next prime (85149067).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85149061) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2746729 + ... + 2746759.

It is an arithmetic number, because the mean of its divisors is an integer number (1411704).

Almost surely, 2^85149064 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 85149064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112936320).

85149064 is an abundant number, since it is smaller than the sum of its proper divisors (140723576).

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

85149064 is a wasteful number, since it uses less digits than its factorization.

85149064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 85149064 is about 9227.6250465653. The cubic root of 85149064 is about 439.9398402598.

It can be divided in two parts, 8514 and 9064, that added together give a triangular number (17578 = T₁₈₇).

The spelling of 85149064 in words is "eighty-five million, one hundred forty-nine thousand, sixty-four".