1005933740 has 72 divisors (see below), whose sum is σ = 2481926832. Its totient is φ = 341443200.

The previous prime is 1005933713. The next prime is 1005933767. The reversal of 1005933740 is 473395001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1005933713) and next prime (1005933767).

It is a junction number, because it is equal to n+sod(n) for n = 1005933697 and 1005933706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93899 + ... + 104061.

It is an arithmetic number, because the mean of its divisors is an integer number (34471206).

Almost surely, 2^1005933740 is an apocalyptic number.

1005933740 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 1005933740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240963416).

1005933740 is an abundant number, since it is smaller than the sum of its proper divisors (1475993092).

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

1005933740 is a wasteful number, since it uses less digits than its factorization.

1005933740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10287 (or 10278 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 1005933740 is about 31716.4585034332. The cubic root of 1005933740 is about 1001.9740140378.

The spelling of 1005933740 in words is "one billion, five million, nine hundred thirty-three thousand, seven hundred forty".