61121304 has 96 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 19473696.

The previous prime is 61121303. The next prime is 61121311. The reversal of 61121304 is 40312116.

It is a happy number.

61121304 is a `hidden beast` number, since 611 + 21 + 30 + 4 = 666.

It is a super-3 number, since 3×61121304³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61121303) 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 23 ways as a sum of consecutive naturals, for example, 44029 + ... + 45395.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2^61121304 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 61121304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

61121304 is an abundant number, since it is smaller than the sum of its proper divisors (118141416).

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

61121304 is a wasteful number, since it uses less digits than its factorization.

61121304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61121304 is about 7818.0115118871. The cubic root of 61121304 is about 393.9104815221.

It can be divided in two parts, 61121 and 304, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 61121304 in words is "sixty-one million, one hundred twenty-one thousand, three hundred four".