61938912 has 96 divisors (see below), whose sum is σ = 188987904. Its totient is φ = 17395200.

The previous prime is 61938907. The next prime is 61938913. The reversal of 61938912 is 21983916.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61938913) 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, 40237 + ... + 41747.

It is an arithmetic number, because the mean of its divisors is an integer number (1968624).

Almost surely, 2^61938912 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 61938912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94493952).

61938912 is an abundant number, since it is smaller than the sum of its proper divisors (127048992).

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

61938912 is a wasteful number, since it uses less digits than its factorization.

61938912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1584 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 61938912 is about 7870.1278261538. The cubic root of 61938912 is about 395.6591291756.

The spelling of 61938912 in words is "sixty-one million, nine hundred thirty-eight thousand, nine hundred twelve".