1006045956 has 36 divisors (see below), whose sum is σ = 2559915904. Its totient is φ = 333126000.

The previous prime is 1006045949. The next prime is 1006045973. The reversal of 1006045956 is 6595406001.

1006045956 is a `hidden beast` number, since 1 + 0 + 0 + 60 + 4 + 595 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1006045956.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87100 + ... + 97971.

Almost surely, 2^1006045956 is an apocalyptic number.

It is an amenable number.

1006045956 is an abundant number, since it is smaller than the sum of its proper divisors (1553869948).

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

1006045956 is a wasteful number, since it uses less digits than its factorization.

1006045956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185232 (or 185227 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1006045956 is about 31718.2275040709. The cubic root of 1006045956 is about 1002.0112707447.

It can be divided in two parts, 1006045 and 956, that added together give a palindrome (1007001).

The spelling of 1006045956 in words is "one billion, six million, forty-five thousand, nine hundred fifty-six".