61986816 has 192 divisors, whose sum is σ = 196560000. Its totient is φ = 19243008.

The previous prime is 61986773. The next prime is 61986829. The reversal of 61986816 is 61868916.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050595 + ... + 1050653.

It is an arithmetic number, because the mean of its divisors is an integer number (1023750).

Almost surely, 2^61986816 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 61986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280000).

61986816 is an abundant number, since it is smaller than the sum of its proper divisors (134573184).

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

61986816 is a wasteful number, since it uses less digits than its factorization.

61986816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 61986816 is about 7873.1706446641. The cubic root of 61986816 is about 395.7611047626.

The spelling of 61986816 in words is "sixty-one million, nine hundred eighty-six thousand, eight hundred sixteen".