1395616320 has 336 divisors, whose sum is σ = 5637385728. Its totient is φ = 310210560.

The previous prime is 1395616307. The next prime is 1395616349. The reversal of 1395616320 is 236165931.

1395616320 = T₁₆₀ + T₁₆₁ + ... + T₂₀₃₀.

1395616320 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 616 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 744985 + ... + 746855.

Almost surely, 2^1395616320 is an apocalyptic number.

1395616320 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 1395616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818692864).

1395616320 is an abundant number, since it is smaller than the sum of its proper divisors (4241769408).

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

1395616320 is a wasteful number, since it uses less digits than its factorization.

1395616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1395616320 is about 37357.9485518142. The cubic root of 1395616320 is about 1117.5201083420.

It can be divided in two parts, 13956 and 16320, that added together give a square (30276 = 174²).

The spelling of 1395616320 in words is "one billion, three hundred ninety-five million, six hundred sixteen thousand, three hundred twenty".