61337380 has 48 divisors (see below), whose sum is σ = 139391280. Its totient is φ = 22537728.

The previous prime is 61337369. The next prime is 61337383. The reversal of 61337380 is 8373316.

It can be written as a sum of positive squares in 8 ways, for example, as 6843456 + 54493924 = 2616^2 + 7382^2 .

It is not an unprimeable number, because it can be changed into a prime (61337383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69502 + ... + 70378.

It is an arithmetic number, because the mean of its divisors is an integer number (2903985).

Almost surely, 2^61337380 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 61337380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69695640).

61337380 is an abundant number, since it is smaller than the sum of its proper divisors (78053900).

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

61337380 is a wasteful number, since it uses less digits than its factorization.

61337380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 61337380 is about 7831.8184350762. The cubic root of 61337380 is about 394.3741196381.

The spelling of 61337380 in words is "sixty-one million, three hundred thirty-seven thousand, three hundred eighty".