1379064240 has 240 divisors, whose sum is σ = 4794603840. Its totient is φ = 355031040.

The previous prime is 1379064221. The next prime is 1379064287. The reversal of 1379064240 is 424609731.

1379064240 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 0 + 642 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1379064195 and 1379064204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2709106 + ... + 2709614.

It is an arithmetic number, because the mean of its divisors is an integer number (19977516).

Almost surely, 2^1379064240 is an apocalyptic number.

1379064240 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 1379064240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397301920).

1379064240 is an abundant number, since it is smaller than the sum of its proper divisors (3415539600).

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

1379064240 is a wasteful number, since it uses less digits than its factorization.

1379064240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 643 counting only the distinct ones).

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

The square root of 1379064240 is about 37135.7541999621. The cubic root of 1379064240 is about 1113.0845783499.

The spelling of 1379064240 in words is "one billion, three hundred seventy-nine million, sixty-four thousand, two hundred forty".