1007648906 has 32 divisors (see below), whose sum is σ = 1779926400. Its totient is φ = 422994880.

The previous prime is 1007648867. The next prime is 1007648909. The reversal of 1007648906 is 6098467001.

It is not an unprimeable number, because it can be changed into a prime (1007648909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19661 + ... + 49008.

It is an arithmetic number, because the mean of its divisors is an integer number (55622700).

Almost surely, 2^1007648906 is an apocalyptic number.

1007648906 is a deficient number, since it is larger than the sum of its proper divisors (772277494).

1007648906 is a wasteful number, since it uses less digits than its factorization.

1007648906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68734.

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 1007648906 is about 31743.4860404462. The cubic root of 1007648906 is about 1002.5431621767.

The spelling of 1007648906 in words is "one billion, seven million, six hundred forty-eight thousand, nine hundred six".