1461162164 has 60 divisors (see below), whose sum is σ = 3254448288. Its totient is φ = 569242800.

The previous prime is 1461162137. The next prime is 1461162167. The reversal of 1461162164 is 4612611641.

It is a self number, because there is not a number n which added to its sum of digits gives 1461162164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461162167) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98729 + ... + 112559.

Almost surely, 2^1461162164 is an apocalyptic number.

1461162164 is a gapful number since it is divisible by the number (14) 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 1461162164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627224144).

1461162164 is an abundant number, since it is smaller than the sum of its proper divisors (1793286124).

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

1461162164 is a wasteful number, since it uses less digits than its factorization.

1461162164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13874 (or 13851 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 1461162164 is about 38225.1509349538. The cubic root of 1461162164 is about 1134.7481218974.

The spelling of 1461162164 in words is "one billion, four hundred sixty-one million, one hundred sixty-two thousand, one hundred sixty-four".