1005335940 has 72 divisors (see below), whose sum is σ = 3274532352. Its totient is φ = 229790400.

The previous prime is 1005335897. The next prime is 1005335951. The reversal of 1005335940 is 495335001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1005335898 and 1005335907.

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, 168036 + ... + 173915.

It is an arithmetic number, because the mean of its divisors is an integer number (45479616).

Almost surely, 2^1005335940 is an apocalyptic number.

1005335940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005335940 is an abundant number, since it is smaller than the sum of its proper divisors (2269196412).

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

1005335940 is a wasteful number, since it uses less digits than its factorization.

1005335940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341977 (or 341968 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 1005335940 is about 31707.0329737741. The cubic root of 1005335940 is about 1001.7754924276.

The spelling of 1005335940 in words is "one billion, five million, three hundred thirty-five thousand, nine hundred forty".