1953126432 has 120 divisors (see below), whose sum is σ = 6046563600. Its totient is φ = 616761216.

The previous prime is 1953126431. The next prime is 1953126467. The reversal of 1953126432 is 2346213591.

1953126432 is a `hidden beast` number, since 1 + 9 + 5 + 3 + 1 + 2 + 643 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1953126431) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29419 + ... + 69077.

It is an arithmetic number, because the mean of its divisors is an integer number (50388030).

Almost surely, 2^1953126432 is an apocalyptic number.

1953126432 is a gapful number since it is divisible by the number (12) 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 1953126432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023281800).

1953126432 is an abundant number, since it is smaller than the sum of its proper divisors (4093437168).

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

1953126432 is a wasteful number, since it uses less digits than its factorization.

1953126432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39700 (or 39683 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 1953126432 is about 44194.1900253868. The cubic root of 1953126432 is about 1250.0003054933. Note that the first 3 decimals are identical.

The spelling of 1953126432 in words is "one billion, nine hundred fifty-three million, one hundred twenty-six thousand, four hundred thirty-two".