920812160 has 64 divisors (see below), whose sum is σ = 2213757000. Its totient is φ = 366243840.

The previous prime is 920812121. The next prime is 920812169. The reversal of 920812160 is 61218029.

It can be written as a sum of positive squares in 4 ways, for example, as 433638976 + 487173184 = 20824^2 + 22072^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (920812169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111866 + ... + 119814.

Almost surely, 2^920812160 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 920812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106878500).

920812160 is an abundant number, since it is smaller than the sum of its proper divisors (1292944840).

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

920812160 is a wasteful number, since it uses less digits than its factorization.

920812160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8149 (or 8137 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 920812160 is about 30344.8868839546. The cubic root of 920812160 is about 972.8749368779.

The spelling of 920812160 in words is "nine hundred twenty million, eight hundred twelve thousand, one hundred sixty".