61144632 has 96 divisors (see below), whose sum is σ = 174545280. Its totient is φ = 20049120.

The previous prime is 61144621. The next prime is 61144651. The reversal of 61144632 is 23644116.

61144632 is a `hidden beast` number, since 611 + 4 + 46 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 61144596 and 61144605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137803 + ... + 138245.

It is an arithmetic number, because the mean of its divisors is an integer number (1818180).

Almost surely, 2^61144632 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 61144632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87272640).

61144632 is an abundant number, since it is smaller than the sum of its proper divisors (113400648).

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

61144632 is a wasteful number, since it uses less digits than its factorization.

61144632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 519 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 61144632 is about 7819.5033090344. The cubic root of 61144632 is about 393.9605893912.

Adding to 61144632 its reverse (23644116), we get a palindrome (84788748).

It can be divided in two parts, 61144 and 632, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 61144632 in words is "sixty-one million, one hundred forty-four thousand, six hundred thirty-two".