36461000 has 96 divisors (see below), whose sum is σ = 90937080. Its totient is φ = 13680000.

The previous prime is 36460973. The next prime is 36461027. The reversal of 36461000 is 16463.

It is an interprime number because it is at equal distance from previous prime (36460973) and next prime (36461027).

It can be written as a sum of positive squares in 4 ways, for example, as 21141604 + 15319396 = 4598^2 + 3914^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 360950 + ... + 361050.

Almost surely, 2^36461000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45468540).

36461000 is an abundant number, since it is smaller than the sum of its proper divisors (54476080).

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

36461000 is a wasteful number, since it uses less digits than its factorization.

36461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 36461000 is about 6038.2944611869. The cubic root of 36461000 is about 331.5961848946.

Adding to 36461000 its reverse (16463), we get a palindrome (36477463).

The spelling of 36461000 in words is "thirty-six million, four hundred sixty-one thousand".