919825920 has 480 divisors, whose sum is σ = 3565834272. Its totient is φ = 217645056.

The previous prime is 919825897. The next prime is 919825927. The reversal of 919825920 is 29528919.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (919825927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11082199 + ... + 11082281.

Almost surely, 2^919825920 is an apocalyptic number.

919825920 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 919825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782917136).

919825920 is an abundant number, since it is smaller than the sum of its proper divisors (2646008352).

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

919825920 is a wasteful number, since it uses less digits than its factorization.

919825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 919825920 is about 30328.6320166275. The cubic root of 919825920 is about 972.5274787759.

The spelling of 919825920 in words is "nine hundred nineteen million, eight hundred twenty-five thousand, nine hundred twenty".