1395688320 has 640 divisors, whose sum is σ = 5702004000. Its totient is φ = 322486272.

The previous prime is 1395688313. The next prime is 1395688337. The reversal of 1395688320 is 238865931.

It is a happy number.

1395688320 is a `hidden beast` number, since 1 + 3 + 9 + 568 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12804426 + ... + 12804534.

Almost surely, 2^1395688320 is an apocalyptic number.

1395688320 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 1395688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851002000).

1395688320 is an abundant number, since it is smaller than the sum of its proper divisors (4306315680).

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

1395688320 is a wasteful number, since it uses less digits than its factorization.

1395688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1395688320 is about 37358.9121897306. The cubic root of 1395688320 is about 1117.5393256734.

The spelling of 1395688320 in words is "one billion, three hundred ninety-five million, six hundred eighty-eight thousand, three hundred twenty".