1406705664 has 448 divisors, whose sum is σ = 5020275456. Its totient is φ = 339738624.

The previous prime is 1406705659. The next prime is 1406705683. The reversal of 1406705664 is 4665076041.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38019054 + ... + 38019090.

It is an arithmetic number, because the mean of its divisors is an integer number (11205972).

Almost surely, 2^1406705664 is an apocalyptic number.

1406705664 is a gapful number since it is divisible by the number (14) 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 1406705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510137728).

1406705664 is an abundant number, since it is smaller than the sum of its proper divisors (3613569792).

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

1406705664 is a wasteful number, since it uses less digits than its factorization.

1406705664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 1406705664 is about 37506.0750279205. The cubic root of 1406705664 is about 1120.4721818568.

The spelling of 1406705664 in words is "one billion, four hundred six million, seven hundred five thousand, six hundred sixty-four".