1006370904 has 128 divisors (see below), whose sum is σ = 3151872000. Its totient is φ = 260135040.

The previous prime is 1006370903. The next prime is 1006370917. The reversal of 1006370904 is 4090736001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006370903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418297 + ... + 420695.

It is an arithmetic number, because the mean of its divisors is an integer number (24624000).

Almost surely, 2^1006370904 is an apocalyptic number.

1006370904 is a gapful number since it is divisible by the number (14) 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 1006370904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575936000).

1006370904 is an abundant number, since it is smaller than the sum of its proper divisors (2145501096).

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

1006370904 is a wasteful number, since it uses less digits than its factorization.

1006370904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1006370904 is about 31723.3495078940. The cubic root of 1006370904 is about 1002.1191407370.

The spelling of 1006370904 in words is "one billion, six million, three hundred seventy thousand, nine hundred four".