61981416 has 64 divisors (see below), whose sum is σ = 196771200. Its totient is φ = 17708544.

The previous prime is 61981411. The next prime is 61981417. The reversal of 61981416 is 61418916.

It is a happy number.

61981416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (61981411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18985 + ... + 22008.

It is an arithmetic number, because the mean of its divisors is an integer number (3074550).

Almost surely, 2^61981416 is an apocalyptic number.

It is an amenable number.

61981416 is an abundant number, since it is smaller than the sum of its proper divisors (134789784).

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

61981416 is a wasteful number, since it uses less digits than its factorization.

61981416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41015 (or 41005 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 61981416 is about 7872.8277003882. The cubic root of 61981416 is about 395.7496121466.

Subtracting from 61981416 its reverse (61418916), we obtain a square (562500 = 750²).

The spelling of 61981416 in words is "sixty-one million, nine hundred eighty-one thousand, four hundred sixteen".