920161440 has 216 divisors, whose sum is σ = 3452114484. Its totient is φ = 223027200.

The previous prime is 920161433. The next prime is 920161453. The reversal of 920161440 is 44161029.

920161440 is a `hidden beast` number, since 9 + 2 + 0 + 1 + 614 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 851005584 + 69155856 = 29172^2 + 8316^2 .

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 35 ways as a sum of consecutive naturals, for example, 171600 + ... + 176880.

Almost surely, 2^920161440 is an apocalyptic number.

920161440 is a gapful number since it is divisible by the number (90) 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 920161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726057242).

920161440 is an abundant number, since it is smaller than the sum of its proper divisors (2531953044).

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

920161440 is a wasteful number, since it uses less digits than its factorization.

920161440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5324 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 920161440 is about 30334.1629190588. The cubic root of 920161440 is about 972.6457122902.

The spelling of 920161440 in words is "nine hundred twenty million, one hundred sixty-one thousand, four hundred forty".