1027963440 has 160 divisors (see below), whose sum is σ = 4046645760. Its totient is φ = 234959616.

The previous prime is 1027963393. The next prime is 1027963487. The reversal of 1027963440 is 443697201.

1027963440 is a `hidden beast` number, since 10 + 2 + 7 + 9 + 634 + 4 + 0 = 666.

1027963440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1027963393) and next prime (1027963487).

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

It is a junction number, because it is equal to n+sod(n) for n = 1027963395 and 1027963404.

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, 18874 + ... + 49113.

It is an arithmetic number, because the mean of its divisors is an integer number (25291536).

Almost surely, 2^1027963440 is an apocalyptic number.

1027963440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1027963440 is an abundant number, since it is smaller than the sum of its proper divisors (3018682320).

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

1027963440 is a wasteful number, since it uses less digits than its factorization.

1027963440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68016 (or 68004 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1027963440 is about 32061.8689411581. The cubic root of 1027963440 is about 1009.2355879946.

The spelling of 1027963440 in words is "one billion, twenty-seven million, nine hundred sixty-three thousand, four hundred forty".