1027164120 has 64 divisors (see below), whose sum is σ = 3083616000. Its totient is φ = 273721728.

The previous prime is 1027164109. The next prime is 1027164133. The reversal of 1027164120 is 214617201.

It is a super-2 number, since 2×1027164120² = 2110132258830748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 307821 + ... + 311139.

It is an arithmetic number, because the mean of its divisors is an integer number (48181500).

Almost surely, 2^1027164120 is an apocalyptic number.

1027164120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1027164120 is an abundant number, since it is smaller than the sum of its proper divisors (2056451880).

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

1027164120 is a wasteful number, since it uses less digits than its factorization.

1027164120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1027164120 is about 32049.4012424569. The cubic root of 1027164120 is about 1008.9739342755.

The spelling of 1027164120 in words is "one billion, twenty-seven million, one hundred sixty-four thousand, one hundred twenty".