85914720 has 72 divisors (see below), whose sum is σ = 293188896. Its totient is φ = 22910208.

The previous prime is 85914709. The next prime is 85914737. The reversal of 85914720 is 2741958.

85914720 is a `hidden beast` number, since 8 + 591 + 47 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×85914720² = 14762678225356800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28392 + ... + 31271.

It is an arithmetic number, because the mean of its divisors is an integer number (4072068).

Almost surely, 2^85914720 is an apocalyptic number.

85914720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85914720 is an abundant number, since it is smaller than the sum of its proper divisors (207274176).

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

85914720 is a wasteful number, since it uses less digits than its factorization.

85914720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59684 (or 59673 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 85914720 is about 9269.0193656071. The cubic root of 85914720 is about 441.2545463075.

The spelling of 85914720 in words is "eighty-five million, nine hundred fourteen thousand, seven hundred twenty".