1461540612 has 96 divisors (see below), whose sum is σ = 4166313984. Its totient is φ = 389664000.

The previous prime is 1461540611. The next prime is 1461540617. The reversal of 1461540612 is 2160451641.

It is a super-2 number, since 2×1461540612² = 4272201921050669088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1461540612.

It is not an unprimeable number, because it can be changed into a prime (1461540611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69987 + ... + 88437.

It is an arithmetic number, because the mean of its divisors is an integer number (43399104).

Almost surely, 2^1461540612 is an apocalyptic number.

1461540612 is a gapful number since it is divisible by the number (12) 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 1461540612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083156992).

1461540612 is an abundant number, since it is smaller than the sum of its proper divisors (2704773372).

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

1461540612 is a wasteful number, since it uses less digits than its factorization.

1461540612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18529 (or 18527 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1461540612 is about 38230.1008630634. The cubic root of 1461540612 is about 1134.8460818404.

The spelling of 1461540612 in words is "one billion, four hundred sixty-one million, five hundred forty thousand, six hundred twelve".