85004964 has 240 divisors, whose sum is σ = 272232576. Its totient is φ = 22809600.

The previous prime is 85004911. The next prime is 85004971. The reversal of 85004964 is 46940058.

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 79 ways as a sum of consecutive naturals, for example, 1393494 + ... + 1393554.

Almost surely, 2^85004964 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 85004964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136116288).

85004964 is an abundant number, since it is smaller than the sum of its proper divisors (187227612).

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

85004964 is a wasteful number, since it uses less digits than its factorization.

85004964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85004964 is about 9219.8136640607. The cubic root of 85004964 is about 439.6915262110.

The spelling of 85004964 in words is "eighty-five million, four thousand, nine hundred sixty-four".