1920164490 has 108 divisors (see below), whose sum is σ = 5193523062. Its totient is φ = 492200640.

The previous prime is 1920164473. The next prime is 1920164503. The reversal of 1920164490 is 944610291.

It is a happy number.

1920164490 is a `hidden beast` number, since 1 + 9 + 2 + 0 + 1 + 644 + 9 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 742508001 + 1177656489 = 27249^2 + 34317^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 12886936 + ... + 12887084.

Almost surely, 2^1920164490 is an apocalyptic number.

1920164490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1920164490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596761531).

1920164490 is an abundant number, since it is smaller than the sum of its proper divisors (3273358572).

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

1920164490 is a wasteful number, since it uses less digits than its factorization.

1920164490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1920164490 is about 43819.6815369532. The cubic root of 1920164490 is about 1242.9284950260.

The spelling of 1920164490 in words is "one billion, nine hundred twenty million, one hundred sixty-four thousand, four hundred ninety".