806924160 has 384 divisors, whose sum is σ = 3327933600. Its totient is φ = 184246272.

The previous prime is 806924149. The next prime is 806924161. The reversal of 806924160 is 61429608.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×806924160² = 1302253199983411200, 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 not an unprimeable number, because it can be changed into a prime (806924161) 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 47 ways as a sum of consecutive naturals, for example, 846244 + ... + 847196.

Almost surely, 2^806924160 is an apocalyptic number.

806924160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663966800).

806924160 is an abundant number, since it is smaller than the sum of its proper divisors (2521009440).

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

806924160 is a wasteful number, since it uses less digits than its factorization.

806924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 806924160 is about 28406.4105441008. The cubic root of 806924160 is about 930.9883353543.

The spelling of 806924160 in words is "eight hundred six million, nine hundred twenty-four thousand, one hundred sixty".