1398835072 has 128 divisors (see below), whose sum is σ = 3093292800. Its totient is φ = 627179520.

The previous prime is 1398835057. The next prime is 1398835079. The reversal of 1398835072 is 2705388931.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398835079) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6003468 + ... + 6003700.

It is an arithmetic number, because the mean of its divisors is an integer number (24166350).

Almost surely, 2^1398835072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1398835072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546646400).

1398835072 is an abundant number, since it is smaller than the sum of its proper divisors (1694457728).

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

1398835072 is a wasteful number, since it uses less digits than its factorization.

1398835072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 1398835072 is about 37401.0036228976. The cubic root of 1398835072 is about 1118.3785721534.

The spelling of 1398835072 in words is "one billion, three hundred ninety-eight million, eight hundred thirty-five thousand, seventy-two".