920910144 has 224 divisors, whose sum is σ = 3064190976. Its totient is φ = 237127680.

The previous prime is 920910121. The next prime is 920910157. The reversal of 920910144 is 441019029.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2468742 + ... + 2469114.

It is an arithmetic number, because the mean of its divisors is an integer number (13679424).

Almost surely, 2^920910144 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 920910144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532095488).

920910144 is an abundant number, since it is smaller than the sum of its proper divisors (2143280832).

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

920910144 is a wasteful number, since it uses less digits than its factorization.

920910144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 920910144 is about 30346.5013469428. The cubic root of 920910144 is about 972.9094436611.

The spelling of 920910144 in words is "nine hundred twenty million, nine hundred ten thousand, one hundred forty-four".