1392160640 has 128 divisors (see below), whose sum is σ = 3611412000. Its totient is φ = 510124032.

The previous prime is 1392160541. The next prime is 1392160661. The reversal of 1392160640 is 460612931.

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

It is a super-2 number, since 2×1392160640² = 3876222495130419200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1392160597 and 1392160606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1239119 + ... + 1240241.

Almost surely, 2^1392160640 is an apocalyptic number.

1392160640 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 1392160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805706000).

1392160640 is an abundant number, since it is smaller than the sum of its proper divisors (2219251360).

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

1392160640 is a wasteful number, since it uses less digits than its factorization.

1392160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 1392160640 is about 37311.6689522192. The cubic root of 1392160640 is about 1116.5969836470.

The spelling of 1392160640 in words is "one billion, three hundred ninety-two million, one hundred sixty thousand, six hundred forty".