94085640 has 192 divisors, whose sum is σ = 348416640. Its totient is φ = 21795840.

The previous prime is 94085623. The next prime is 94085671. The reversal of 94085640 is 4658049.

94085640 is a `hidden beast` number, since 9 + 4 + 0 + 8 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 94085595 and 94085604.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 90564 + ... + 91596.

It is an arithmetic number, because the mean of its divisors is an integer number (1814670).

Almost surely, 2^94085640 is an apocalyptic number.

94085640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

94085640 is the 7920-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94085640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174208320).

94085640 is an abundant number, since it is smaller than the sum of its proper divisors (254331000).

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

94085640 is a wasteful number, since it uses less digits than its factorization.

94085640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1077 counting only the distinct ones).

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

The square root of 94085640 is about 9699.7752551283. The cubic root of 94085640 is about 454.8216343906.

The spelling of 94085640 in words is "ninety-four million, eighty-five thousand, six hundred forty".