1406906676 has 72 divisors (see below), whose sum is σ = 4071150720. Its totient is φ = 401305536.

The previous prime is 1406906671. The next prime is 1406906693. The reversal of 1406906676 is 6766096041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406906671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158730 + ... + 167358.

It is an arithmetic number, because the mean of its divisors is an integer number (56543760).

Almost surely, 2^1406906676 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 1406906676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035575360).

1406906676 is an abundant number, since it is smaller than the sum of its proper divisors (2664244044).

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

1406906676 is a wasteful number, since it uses less digits than its factorization.

1406906676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9293 (or 9288 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1406906676 is about 37508.7546580795. The cubic root of 1406906676 is about 1120.5255494832.

The spelling of 1406906676 in words is "one billion, four hundred six million, nine hundred six thousand, six hundred seventy-six".