61293216 has 48 divisors (see below), whose sum is σ = 161923104. Its totient is φ = 20300544.

The previous prime is 61293203. The next prime is 61293277. The reversal of 61293216 is 61239216.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13690 + ... + 17606.

It is an arithmetic number, because the mean of its divisors is an integer number (3373398).

Almost surely, 2^61293216 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 61293216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80961552).

61293216 is an abundant number, since it is smaller than the sum of its proper divisors (100629888).

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

61293216 is a wasteful number, since it uses less digits than its factorization.

61293216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093 (or 4085 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 61293216 is about 7828.9984033719. The cubic root of 61293216 is about 394.2794447948.

The spelling of 61293216 in words is "sixty-one million, two hundred ninety-three thousand, two hundred sixteen".