1461100 has 36 divisors (see below), whose sum is σ = 3341800. Its totient is φ = 552960.

The previous prime is 1461091. The next prime is 1461101. The reversal of 1461100 is 11641.

It is not an unprimeable number, because it can be changed into a prime (1461101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1516 + ... + 2284.

2^1461100 is an apocalyptic number.

1461100 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 1461100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670900).

1461100 is an abundant number, since it is smaller than the sum of its proper divisors (1880700).

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

1461100 is a wasteful number, since it uses less digits than its factorization.

1461100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1461100 is about 1208.7596948939. The cubic root of 1461100 is about 113.4732029346.

Adding to 1461100 its reverse (11641), we get a palindrome (1472741).

The spelling of 1461100 in words is "one million, four hundred sixty-one thousand, one hundred".