120632616 has 72 divisors (see below), whose sum is σ = 352827930. Its totient is φ = 37014336.

The previous prime is 120632593. The next prime is 120632651. The reversal of 120632616 is 616236021.

120632616 is a `hidden beast` number, since 1 + 20 + 632 + 6 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115992900 + 4639716 = 10770^2 + 2154^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 120632616.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 335845 + ... + 336203.

Almost surely, 2^120632616 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 120632616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176413965).

120632616 is an abundant number, since it is smaller than the sum of its proper divisors (232195314).

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

120632616 is a wasteful number, since it uses less digits than its factorization.

120632616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 120632616 is about 10983.2880322789. The cubic root of 120632616 is about 494.1076546399.

Adding to 120632616 its reverse (616236021), we get a palindrome (736868637).

The spelling of 120632616 in words is "one hundred twenty million, six hundred thirty-two thousand, six hundred sixteen".