1406534766 has 128 divisors (see below), whose sum is σ = 3594157056. Its totient is φ = 357073920.

The previous prime is 1406534747. The next prime is 1406534777. The reversal of 1406534766 is 6674356041.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1857660 + ... + 1858416.

It is an arithmetic number, because the mean of its divisors is an integer number (28079352).

Almost surely, 2^1406534766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406534766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797078528).

1406534766 is an abundant number, since it is smaller than the sum of its proper divisors (2187622290).

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

1406534766 is a wasteful number, since it uses less digits than its factorization.

1406534766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906.

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 1406534766 is about 37503.7966878022. The cubic root of 1406534766 is about 1120.4268053399.

The spelling of 1406534766 in words is "one billion, four hundred six million, five hundred thirty-four thousand, seven hundred sixty-six".