1007485668 has 96 divisors (see below), whose sum is σ = 3046176000. Its totient is φ = 287842464.

The previous prime is 1007485649. The next prime is 1007485673. The reversal of 1007485668 is 8665847001.

It is a happy number.

1007485668 is a `hidden beast` number, since 10 + 0 + 74 + 8 + 566 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23446 + ... + 50642.

It is an arithmetic number, because the mean of its divisors is an integer number (31731000).

Almost surely, 2^1007485668 is an apocalyptic number.

1007485668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007485668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523088000).

1007485668 is an abundant number, since it is smaller than the sum of its proper divisors (2038690332).

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

1007485668 is a wasteful number, since it uses less digits than its factorization.

1007485668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27231 (or 27209 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1007485668 is about 31740.9147316204. The cubic root of 1007485668 is about 1002.4890222947.

The spelling of 1007485668 in words is "one billion, seven million, four hundred eighty-five thousand, six hundred sixty-eight".