1398136320 has 240 divisors, whose sum is σ = 5534511840. Its totient is φ = 319537152.

The previous prime is 1398136303. The next prime is 1398136361. The reversal of 1398136320 is 236318931.

1398136320 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 13 + 632 + 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156946 + ... + 165614.

It is an arithmetic number, because the mean of its divisors is an integer number (23060466).

Almost surely, 2^1398136320 is an apocalyptic number.

1398136320 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 1398136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767255920).

1398136320 is an abundant number, since it is smaller than the sum of its proper divisors (4136375520).

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

1398136320 is an equidigital number, since it uses as much as digits as its factorization.

1398136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8705 (or 8686 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1398136320 is about 37391.6611024437. The cubic root of 1398136320 is about 1118.1923220761.

The spelling of 1398136320 in words is "one billion, three hundred ninety-eight million, one hundred thirty-six thousand, three hundred twenty".