61132320 has 240 divisors, whose sum is σ = 222286680. Its totient is φ = 15814656.

The previous prime is 61132307. The next prime is 61132327. The reversal of 61132320 is 2323116.

61132320 is a `hidden beast` number, since 611 + 32 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46294416 + 14837904 = 6804^2 + 3852^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 61132293 and 61132302.

It is not an unprimeable number, because it can be changed into a prime (61132327) 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 39 ways as a sum of consecutive naturals, for example, 686836 + ... + 686924.

Almost surely, 2^61132320 is an apocalyptic number.

61132320 is a gapful number since it is divisible by the number (60) 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 61132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111143340).

61132320 is an abundant number, since it is smaller than the sum of its proper divisors (161154360).

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

61132320 is a wasteful number, since it uses less digits than its factorization.

61132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 61132320 is about 7818.7160071204. The cubic root of 61132320 is about 393.9341451599.

Adding to 61132320 its reverse (2323116), we get a palindrome (63455436).

The spelling of 61132320 in words is "sixty-one million, one hundred thirty-two thousand, three hundred twenty".