1953226560 has 224 divisors, whose sum is σ = 6794357760. Its totient is φ = 473202688.

The previous prime is 1953226537. The next prime is 1953226603. The reversal of 1953226560 is 656223591.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471217 + ... + 475343.

Almost surely, 2^1953226560 is an apocalyptic number.

1953226560 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 1953226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397178880).

1953226560 is an abundant number, since it is smaller than the sum of its proper divisors (4841131200).

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

1953226560 is a wasteful number, since it uses less digits than its factorization.

1953226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4183 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 1953226560 is about 44195.3228294579. The cubic root of 1953226560 is about 1250.0216657578.

The spelling of 1953226560 in words is "one billion, nine hundred fifty-three million, two hundred twenty-six thousand, five hundred sixty".