919909920 has 96 divisors (see below), whose sum is σ = 2904491520. Its totient is φ = 244736000.

The previous prime is 919909883. The next prime is 919909931. The reversal of 919909920 is 29909919.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 919909920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227920 + ... + 231920.

It is an arithmetic number, because the mean of its divisors is an integer number (30255120).

Almost surely, 2^919909920 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 919909920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452245760).

919909920 is an abundant number, since it is smaller than the sum of its proper divisors (1984581600).

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

919909920 is a wasteful number, since it uses less digits than its factorization.

919909920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4498 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 48.

The square root of 919909920 is about 30330.0168150300. The cubic root of 919909920 is about 972.5570821388.

The spelling of 919909920 in words is "nine hundred nineteen million, nine hundred nine thousand, nine hundred twenty".