1054935792 has 80 divisors (see below), whose sum is σ = 3039567360. Its totient is φ = 350308800.

The previous prime is 1054935773. The next prime is 1054935839. The reversal of 1054935792 is 2975394501.

It is a happy number.

1054935792 is a `hidden beast` number, since 1 + 0 + 549 + 35 + 79 + 2 = 666.

1054935792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1054935792² = 2225779050485334528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112567 + ... + 121577.

It is an arithmetic number, because the mean of its divisors is an integer number (37994592).

Almost surely, 2^1054935792 is an apocalyptic number.

1054935792 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 1054935792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519783680).

1054935792 is an abundant number, since it is smaller than the sum of its proper divisors (1984631568).

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

1054935792 is a wasteful number, since it uses less digits than its factorization.

1054935792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9299 (or 9287 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 1054935792 is about 32479.7751223742. The cubic root of 1054935792 is about 1017.9864776658.

The spelling of 1054935792 in words is "one billion, fifty-four million, nine hundred thirty-five thousand, seven hundred ninety-two".