61017216 has 128 divisors (see below), whose sum is σ = 185068800. Its totient is φ = 17645568.

The previous prime is 61017211. The next prime is 61017223. The reversal of 61017216 is 61271016.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (61017211) 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, 84505 + ... + 85223.

It is an arithmetic number, because the mean of its divisors is an integer number (1445850).

Almost surely, 2^61017216 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 61017216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

61017216 is an abundant number, since it is smaller than the sum of its proper divisors (124051584).

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

61017216 is a wasteful number, since it uses less digits than its factorization.

61017216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 61017216 is about 7811.3517396159. The cubic root of 61017216 is about 393.6867480156.

The spelling of 61017216 in words is "sixty-one million, seventeen thousand, two hundred sixteen".