1027014120 has 384 divisors, whose sum is σ = 3907008000. Its totient is φ = 239500800.

The previous prime is 1027014119. The next prime is 1027014127. The reversal of 1027014120 is 214107201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1027014093 and 1027014102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027014127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3789585 + ... + 3789855.

It is an arithmetic number, because the mean of its divisors is an integer number (10174500).

Almost surely, 2^1027014120 is an apocalyptic number.

1027014120 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 1027014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953504000).

1027014120 is an abundant number, since it is smaller than the sum of its proper divisors (2879993880).

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

1027014120 is a wasteful number, since it uses less digits than its factorization.

1027014120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1027014120 is about 32047.0610196941. The cubic root of 1027014120 is about 1008.9248173412.

The spelling of 1027014120 in words is "one billion, twenty-seven million, fourteen thousand, one hundred twenty".