1007829996 has 48 divisors (see below), whose sum is σ = 2480204160. Its totient is φ = 317640960.

The previous prime is 1007829973. The next prime is 1007829997. The reversal of 1007829996 is 6999287001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1007829997) 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, 120676 + ... + 128756.

It is an arithmetic number, because the mean of its divisors is an integer number (51670920).

Almost surely, 2^1007829996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007829996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240102080).

1007829996 is an abundant number, since it is smaller than the sum of its proper divisors (1472374164).

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

1007829996 is a wasteful number, since it uses less digits than its factorization.

1007829996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8654 (or 8652 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 1007829996 is about 31746.3383085357. The cubic root of 1007829996 is about 1002.6032160524.

The spelling of 1007829996 in words is "one billion, seven million, eight hundred twenty-nine thousand, nine hundred ninety-six".