61350016 has 128 divisors (see below), whose sum is σ = 157651200. Its totient is φ = 23113728.

The previous prime is 61349999. The next prime is 61350041. The reversal of 61350016 is 61005316.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267790 + ... + 268018.

It is an arithmetic number, because the mean of its divisors is an integer number (1231650).

Almost surely, 2^61350016 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 61350016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78825600).

61350016 is an abundant number, since it is smaller than the sum of its proper divisors (96301184).

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

61350016 is a wasteful number, since it uses less digits than its factorization.

61350016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 61350016 is about 7832.6251027354. The cubic root of 61350016 is about 394.4011992058.

The spelling of 61350016 in words is "sixty-one million, three hundred fifty thousand, sixteen".