61338320 has 40 divisors (see below), whose sum is σ = 144633600. Its totient is φ = 24187520.

The previous prime is 61338317. The next prime is 61338349. The reversal of 61338320 is 2383316.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 61338320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281 + ... + 11079.

It is an arithmetic number, because the mean of its divisors is an integer number (3615840).

Almost surely, 2^61338320 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 61338320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72316800).

61338320 is an abundant number, since it is smaller than the sum of its proper divisors (83295280).

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

61338320 is a wasteful number, since it uses less digits than its factorization.

61338320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10883 (or 10877 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 61338320 is about 7831.8784464520. The cubic root of 61338320 is about 394.3761342322.

The spelling of 61338320 in words is "sixty-one million, three hundred thirty-eight thousand, three hundred twenty".