61337536 has 84 divisors (see below), whose sum is σ = 135541512. Its totient is φ = 27515904.

The previous prime is 61337533. The next prime is 61337537. The reversal of 61337536 is 63573316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61337531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 573195 + ... + 573301.

Almost surely, 2^61337536 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 61337536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67770756).

61337536 is an abundant number, since it is smaller than the sum of its proper divisors (74203976).

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

61337536 is a wasteful number, since it uses less digits than its factorization.

61337536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its digits is 34020, while the sum is 34.

The square root of 61337536 is about 7831.8283944428. The cubic root of 61337536 is about 394.3744539764.

Adding to 61337536 its product of digits (34020), we get a square (61371556 = 7834²).

The spelling of 61337536 in words is "sixty-one million, three hundred thirty-seven thousand, five hundred thirty-six".