1027416420 has 96 divisors (see below), whose sum is σ = 3384460800. Its totient is φ = 257859072.

The previous prime is 1027416419. The next prime is 1027416427. The reversal of 1027416420 is 246147201.

1027416420 is a `hidden beast` number, since 10 + 2 + 7 + 4 + 1 + 642 + 0 = 666.

1027416420 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 (27).

It is not an unprimeable number, because it can be changed into a prime (1027416427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46780 + ... + 65139.

It is an arithmetic number, because the mean of its divisors is an integer number (35254800).

Almost surely, 2^1027416420 is an apocalyptic number.

1027416420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1027416420 is an abundant number, since it is smaller than the sum of its proper divisors (2357044380).

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

1027416420 is a wasteful number, since it uses less digits than its factorization.

1027416420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111954 (or 111946 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1027416420 is about 32053.3371117580. The cubic root of 1027416420 is about 1009.0565381745.

The spelling of 1027416420 in words is "one billion, twenty-seven million, four hundred sixteen thousand, four hundred twenty".