1953799320 has 128 divisors (see below), whose sum is σ = 6430752000. Its totient is φ = 470945280.

The previous prime is 1953799297. The next prime is 1953799321. The reversal of 1953799320 is 239973591.

It is a self number, because there is not a number n which added to its sum of digits gives 1953799320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1953799321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232146 + ... + 240414.

It is an arithmetic number, because the mean of its divisors is an integer number (50240250).

Almost surely, 2^1953799320 is an apocalyptic number.

1953799320 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 1953799320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215376000).

1953799320 is an abundant number, since it is smaller than the sum of its proper divisors (4476952680).

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

1953799320 is a wasteful number, since it uses less digits than its factorization.

1953799320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8473 (or 8469 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 48.

The square root of 1953799320 is about 44201.8022257012. The cubic root of 1953799320 is about 1250.1438383811.

The spelling of 1953799320 in words is "one billion, nine hundred fifty-three million, seven hundred ninety-nine thousand, three hundred twenty".