1398752064 has 140 divisors (see below), whose sum is σ = 4248114948. Its totient is φ = 454809600.

The previous prime is 1398752059. The next prime is 1398752071. The reversal of 1398752064 is 4602578931.

1398752064 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 179345664 + 1219406400 = 13392^2 + 34920^2 .

1398752064 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 209254 + ... + 215834.

It is a 1-persistent number, because it is pandigital, but 2⋅1398752064 = 2797504128 is not.

Almost surely, 2^1398752064 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 1398752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124057474).

1398752064 is an abundant number, since it is smaller than the sum of its proper divisors (2849362884).

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

1398752064 is an equidigital number, since it uses as much as digits as its factorization.

1398752064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6646 (or 6627 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1398752064 is about 37399.8939035928. The cubic root of 1398752064 is about 1118.3564498874.

The spelling of 1398752064 in words is "one billion, three hundred ninety-eight million, seven hundred fifty-two thousand, sixty-four".