61338200 has 144 divisors (see below), whose sum is σ = 181294200. Its totient is φ = 19084800.

The previous prime is 61338197. The next prime is 61338203. The reversal of 61338200 is 283316.

It is an interprime number because it is at equal distance from previous prime (61338197) and next prime (61338203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61338203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107516 + ... + 108084.

Almost surely, 2^61338200 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 61338200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90647100).

61338200 is an abundant number, since it is smaller than the sum of its proper divisors (119956000).

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

61338200 is a wasteful number, since it uses less digits than its factorization.

61338200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 61338200 is about 7831.8707854509. The cubic root of 61338200 is about 394.3758770511.

The spelling of 61338200 in words is "sixty-one million, three hundred thirty-eight thousand, two hundred".