1953910368 has 144 divisors (see below), whose sum is σ = 6020750736. Its totient is φ = 598671360.

The previous prime is 1953910339. The next prime is 1953910379. The reversal of 1953910368 is 8630193591.

1953910368 is a `hidden beast` number, since 1 + 9 + 539 + 103 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205888 + ... + 215168.

It is an arithmetic number, because the mean of its divisors is an integer number (41810769).

Almost surely, 2^1953910368 is an apocalyptic number.

1953910368 is a gapful number since it is divisible by the number (18) 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 1953910368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010375368).

1953910368 is an abundant number, since it is smaller than the sum of its proper divisors (4066840368).

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

1953910368 is a wasteful number, since it uses less digits than its factorization.

1953910368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9357 (or 9346 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1953910368 is about 44203.0583557292. The cubic root of 1953910368 is about 1250.1675227212.

The spelling of 1953910368 in words is "one billion, nine hundred fifty-three million, nine hundred ten thousand, three hundred sixty-eight".