1395923760 has 720 divisors, whose sum is σ = 6204290400. Its totient is φ = 287400960.

The previous prime is 1395923747. The next prime is 1395923783. The reversal of 1395923760 is 673295931.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12806586 + ... + 12806694.

It is an arithmetic number, because the mean of its divisors is an integer number (8617070).

Almost surely, 2^1395923760 is an apocalyptic number.

1395923760 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 1395923760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102145200).

1395923760 is an abundant number, since it is smaller than the sum of its proper divisors (4808366640).

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

1395923760 is a wasteful number, since it uses less digits than its factorization.

1395923760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 1395923760 is about 37362.0631121998. The cubic root of 1395923760 is about 1117.6021617335.

The spelling of 1395923760 in words is "one billion, three hundred ninety-five million, nine hundred twenty-three thousand, seven hundred sixty".