1027680192 has 672 divisors, whose sum is σ = 4108216320. Its totient is φ = 237404160.

The previous prime is 1027680169. The next prime is 1027680223. The reversal of 1027680192 is 2910867201.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1027680192² = 2112253154058313728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21865513 + ... + 21865559.

Almost surely, 2^1027680192 is an apocalyptic number.

1027680192 is a gapful number since it is divisible by the number (12) 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 1027680192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054108160).

1027680192 is an abundant number, since it is smaller than the sum of its proper divisors (3080536128).

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

1027680192 is a wasteful number, since it uses less digits than its factorization.

1027680192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1027680192 is about 32057.4514270863. The cubic root of 1027680192 is about 1009.1428835881.

The spelling of 1027680192 in words is "one billion, twenty-seven million, six hundred eighty thousand, one hundred ninety-two".