1395317664 has 336 divisors, whose sum is σ = 4581051552. Its totient is φ = 415425024.

The previous prime is 1395317647. The next prime is 1395317681. The reversal of 1395317664 is 4667135931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1395317647) and next prime (1395317681).

It is a super-2 number, since 2×1395317664² = 3893822766940833792, which contains 22 as substring.

Its product of digits (408240) is a multiple of the sum of its prime divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13040299 + ... + 13040405.

It is an arithmetic number, because the mean of its divisors is an integer number (13634082).

Almost surely, 2^1395317664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1395317664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290525776).

1395317664 is an abundant number, since it is smaller than the sum of its proper divisors (3185733888).

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

1395317664 is a wasteful number, since it uses less digits than its factorization.

1395317664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 1395317664 is about 37353.9511163143. The cubic root of 1395317664 is about 1117.4403877935.

The spelling of 1395317664 in words is "one billion, three hundred ninety-five million, three hundred seventeen thousand, six hundred sixty-four".