1064551400 has 96 divisors (see below), whose sum is σ = 2707862400. Its totient is φ = 385996800.

The previous prime is 1064551393. The next prime is 1064551421. The reversal of 1064551400 is 41554601.

1064551400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1064551400² = 2266539366483920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1064551400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1480241 + ... + 1480959.

It is an arithmetic number, because the mean of its divisors is an integer number (28206900).

Almost surely, 2^1064551400 is an apocalyptic number.

1064551400 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 1064551400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353931200).

1064551400 is an abundant number, since it is smaller than the sum of its proper divisors (1643311000).

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

1064551400 is a wasteful number, since it uses less digits than its factorization.

1064551400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1064551400 is about 32627.4638916358. The cubic root of 1064551400 is about 1021.0700675824.

The spelling of 1064551400 in words is "one billion, sixty-four million, five hundred fifty-one thousand, four hundred".