1006457772 has 12 divisors (see below), whose sum is σ = 2348401496. Its totient is φ = 335485920.

The previous prime is 1006457761. The next prime is 1006457773. The reversal of 1006457772 is 2777546001.

It is a tau number, because it is divible by the number of its divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1006457772.

It is not an unprimeable number, because it can be changed into a prime (1006457773) 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, 41935729 + ... + 41935752.

Almost surely, 2^1006457772 is an apocalyptic number.

1006457772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006457772 is an abundant number, since it is smaller than the sum of its proper divisors (1341943724).

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

1006457772 is a wasteful number, since it uses less digits than its factorization.

1006457772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83871488 (or 83871486 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 1006457772 is about 31724.7186275938. The cubic root of 1006457772 is about 1002.1479735728.

The spelling of 1006457772 in words is "one billion, six million, four hundred fifty-seven thousand, seven hundred seventy-two".