1056146800 has 30 divisors (see below), whose sum is σ = 2537393648. Its totient is φ = 422458560.

The previous prime is 1056146789. The next prime is 1056146801. The reversal of 1056146800 is 86416501.

It is a super-2 number, since 2×1056146800² = 2230892126300480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056146801) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1319784 + ... + 1320583.

Almost surely, 2^1056146800 is an apocalyptic number.

1056146800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056146800 is an abundant number, since it is smaller than the sum of its proper divisors (1481246848).

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

1056146800 is a wasteful number, since it uses less digits than its factorization.

1056146800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640385 (or 2640374 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 1056146800 is about 32498.4122689094. The cubic root of 1056146800 is about 1018.3758594504.

The spelling of 1056146800 in words is "one billion, fifty-six million, one hundred forty-six thousand, eight hundred".