1390084128 has 72 divisors (see below), whose sum is σ = 3956664348. Its totient is φ = 462938112.

The previous prime is 1390084121. The next prime is 1390084141. The reversal of 1390084128 is 8214800931.

It can be written as a sum of positive squares in 2 ways, for example, as 1366928784 + 23155344 = 36972^2 + 4812^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 1390084092 and 1390084101.

It is not an unprimeable number, because it can be changed into a prime (1390084121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579700 + ... + 582092.

Almost surely, 2^1390084128 is an apocalyptic number.

1390084128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1390084128 is an abundant number, since it is smaller than the sum of its proper divisors (2566580220).

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

1390084128 is a wasteful number, since it uses less digits than its factorization.

1390084128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4426 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1390084128 is about 37283.8319918970. The cubic root of 1390084128 is about 1116.0415446823.

The spelling of 1390084128 in words is "one billion, three hundred ninety million, eighty-four thousand, one hundred twenty-eight".