85618962 has 192 divisors, whose sum is σ = 239016960. Its totient is φ = 21772800.

The previous prime is 85618961. The next prime is 85619003. The reversal of 85618962 is 26981658.

85618962 is a `hidden beast` number, since 8 + 561 + 89 + 6 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (85618961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2314008 + ... + 2314044.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2^85618962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85618962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508480).

85618962 is an abundant number, since it is smaller than the sum of its proper divisors (153397998).

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

85618962 is a wasteful number, since it uses less digits than its factorization.

85618962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 126 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 85618962 is about 9253.0514966685. The cubic root of 85618962 is about 440.7476304518.

The spelling of 85618962 in words is "eighty-five million, six hundred eighteen thousand, nine hundred sixty-two".