1007047040 has 96 divisors (see below), whose sum is σ = 2494683360. Its totient is φ = 388720640.

The previous prime is 1007047033. The next prime is 1007047061. The reversal of 1007047040 is 407407001.

It is a junction number, because it is equal to n+sod(n) for n = 1007046997 and 1007047015.

It is a congruent number.

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, 537305 + ... + 539175.

It is an arithmetic number, because the mean of its divisors is an integer number (25986285).

Almost surely, 2^1007047040 is an apocalyptic number.

1007047040 is a gapful number since it is divisible by the number (10) 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 1007047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247341680).

1007047040 is an abundant number, since it is smaller than the sum of its proper divisors (1487636320).

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

1007047040 is an equidigital number, since it uses as much as digits as its factorization.

1007047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 1007047040 is about 31734.0044746956. The cubic root of 1007047040 is about 1002.3435169713.

The spelling of 1007047040 in words is "one billion, seven million, forty-seven thousand, forty".