1027164400 has 60 divisors (see below), whose sum is σ = 2534495272. Its totient is φ = 399755520.

The previous prime is 1027164379. The next prime is 1027164403. The reversal of 1027164400 is 44617201.

1027164400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027164403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19902 + ... + 49501.

Almost surely, 2^1027164400 is an apocalyptic number.

1027164400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1027164400 is an abundant number, since it is smaller than the sum of its proper divisors (1507330872).

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

1027164400 is a wasteful number, since it uses less digits than its factorization.

1027164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69458 (or 69447 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1027164400 is about 32049.4056107130. The cubic root of 1027164400 is about 1008.9740259560.

The spelling of 1027164400 in words is "one billion, twenty-seven million, one hundred sixty-four thousand, four hundred".