61516224 has 336 divisors, whose sum is σ = 234574080. Its totient is φ = 14929920.

The previous prime is 61516223. The next prime is 61516249. The reversal of 61516224 is 42261516.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61516223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 842652 + ... + 842724.

Almost surely, 2^61516224 is an apocalyptic number.

61516224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61516224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117287040).

61516224 is an abundant number, since it is smaller than the sum of its proper divisors (173057856).

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

61516224 is a wasteful number, since it uses less digits than its factorization.

61516224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 115 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 61516224 is about 7843.2279069271. The cubic root of 61516224 is about 394.7570454894.

The spelling of 61516224 in words is "sixty-one million, five hundred sixteen thousand, two hundred twenty-four".