1395654656 has 84 divisors (see below), whose sum is σ = 3070229064. Its totient is φ = 634388480.

The previous prime is 1395654653. The next prime is 1395654703. The reversal of 1395654656 is 6564565931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1395654653) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126877691 + ... + 126877701.

It is an arithmetic number, because the mean of its divisors is an integer number (36550346).

Almost surely, 2^1395654656 is an apocalyptic number.

1395654656 is a gapful number since it is divisible by the number (16) 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 1395654656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535114532).

1395654656 is an abundant number, since it is smaller than the sum of its proper divisors (1674574408).

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

1395654656 is an frugal number, since it uses more digits than its factorization.

1395654656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 13 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 50.

The square root of 1395654656 is about 37358.4616385632. The cubic root of 1395654656 is about 1117.5303405856.

The spelling of 1395654656 in words is "one billion, three hundred ninety-five million, six hundred fifty-four thousand, six hundred fifty-six".