61133220 has 72 divisors (see below), whose sum is σ = 186391296. Its totient is φ = 16218432.

The previous prime is 61133197. The next prime is 61133227. The reversal of 61133220 is 2233116.

61133220 is a `hidden beast` number, since 611 + 3 + 32 + 20 = 666.

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 = 61133193 and 61133202.

It is not an unprimeable number, because it can be changed into a prime (61133227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39379 + ... + 40901.

It is an arithmetic number, because the mean of its divisors is an integer number (2588768).

Almost surely, 2^61133220 is an apocalyptic number.

61133220 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 61133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93195648).

61133220 is an abundant number, since it is smaller than the sum of its proper divisors (125258076).

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

61133220 is a wasteful number, since it uses less digits than its factorization.

61133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1756 counting only the distinct ones).

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

The square root of 61133220 is about 7818.7735611156. The cubic root of 61133220 is about 393.9360783380.

Adding to 61133220 its reverse (2233116), we get a palindrome (63366336).

The spelling of 61133220 in words is "sixty-one million, one hundred thirty-three thousand, two hundred twenty".