1379185920 has 288 divisors, whose sum is σ = 5594346240. Its totient is φ = 315187200.

The previous prime is 1379185909. The next prime is 1379185931. The reversal of 1379185920 is 295819731.

It is an interprime number because it is at equal distance from previous prime (1379185909) and next prime (1379185931).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239070 + ... + 244770.

Almost surely, 2^1379185920 is an apocalyptic number.

1379185920 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 1379185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797173120).

1379185920 is an abundant number, since it is smaller than the sum of its proper divisors (4215160320).

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

1379185920 is an equidigital number, since it uses as much as digits as its factorization.

1379185920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5738 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 1379185920 is about 37137.3924771247. The cubic root of 1379185920 is about 1113.1173145934.

The spelling of 1379185920 in words is "one billion, three hundred seventy-nine million, one hundred eighty-five thousand, nine hundred twenty".