1946920320 has 256 divisors, whose sum is σ = 6936652800. Its totient is φ = 516077568.

The previous prime is 1946920309. The next prime is 1946920333. The reversal of 1946920320 is 230296491.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5304777 + ... + 5305143.

It is an arithmetic number, because the mean of its divisors is an integer number (27096300).

Almost surely, 2^1946920320 is an apocalyptic number.

1946920320 is a gapful number since it is divisible by the number (10) 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 1946920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468326400).

1946920320 is an abundant number, since it is smaller than the sum of its proper divisors (4989732480).

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

1946920320 is a wasteful number, since it uses less digits than its factorization.

1946920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1946920320 is about 44123.9200434413. The cubic root of 1946920320 is about 1248.6749307829.

The spelling of 1946920320 in words is "one billion, nine hundred forty-six million, nine hundred twenty thousand, three hundred twenty".