1056546000 has 240 divisors, whose sum is σ = 3741903360. Its totient is φ = 277804800.

The previous prime is 1056545983. The next prime is 1056546011. The reversal of 1056546000 is 6456501.

It is a happy number.

1056546000 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 54 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1056546000² = 2232578900232000000, 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 47 ways as a sum of consecutive naturals, for example, 1421629 + ... + 1422371.

It is an arithmetic number, because the mean of its divisors is an integer number (15591264).

Almost surely, 2^1056546000 is an apocalyptic number.

1056546000 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 1056546000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870951680).

1056546000 is an abundant number, since it is smaller than the sum of its proper divisors (2685357360).

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

1056546000 is a wasteful number, since it uses less digits than its factorization.

1056546000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1056546000 is about 32504.5535271599. The cubic root of 1056546000 is about 1018.5041510962.

It can be divided in two parts, 10565 and 46000, that added together give a palindrome (56565).

The spelling of 1056546000 in words is "one billion, fifty-six million, five hundred forty-six thousand".