1205918040 has 64 divisors (see below), whose sum is σ = 3636568800. Its totient is φ = 319905792.

The previous prime is 1205918029. The next prime is 1205918041. The reversal of 1205918040 is 408195021.

It is a happy number.

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 = 1205917989 and 1205918007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205918041) 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, 2875 + ... + 49194.

Almost surely, 2^1205918040 is an apocalyptic number.

1205918040 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 1205918040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818284400).

1205918040 is an abundant number, since it is smaller than the sum of its proper divisors (2430650760).

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

1205918040 is a wasteful number, since it uses less digits than its factorization.

1205918040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52276 (or 52272 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1205918040 is about 34726.3306440516. The cubic root of 1205918040 is about 1064.4026097106.

The spelling of 1205918040 in words is "one billion, two hundred five million, nine hundred eighteen thousand, forty".