1027473120 has 192 divisors, whose sum is σ = 3684502080. Its totient is φ = 267264000.

The previous prime is 1027473119. The next prime is 1027473133. The reversal of 1027473120 is 213747201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174220 + ... + 180020.

It is an arithmetic number, because the mean of its divisors is an integer number (19190115).

Almost surely, 2^1027473120 is an apocalyptic number.

1027473120 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 1027473120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842251040).

1027473120 is an abundant number, since it is smaller than the sum of its proper divisors (2657028960).

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

1027473120 is a wasteful number, since it uses less digits than its factorization.

1027473120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5866 (or 5852 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1027473120 is about 32054.2215628457. The cubic root of 1027473120 is about 1009.0751000910.

The spelling of 1027473120 in words is "one billion, twenty-seven million, four hundred seventy-three thousand, one hundred twenty".