61968888 has 96 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 20412000.

The previous prime is 61968887. The next prime is 61968919. The reversal of 61968888 is 88886916.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61968883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246763 + ... + 247013.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^61968888 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 61968888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

61968888 is an abundant number, since it is smaller than the sum of its proper divisors (114148872).

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

61968888 is a wasteful number, since it uses less digits than its factorization.

61968888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 383 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 61968888 is about 7872.0320121300. The cubic root of 61968888 is about 395.7229467064.

The spelling of 61968888 in words is "sixty-one million, nine hundred sixty-eight thousand, eight hundred eighty-eight".