61633120 has 96 divisors (see below), whose sum is σ = 155131200. Its totient is φ = 23095296.

The previous prime is 61633087. The next prime is 61633139. The reversal of 61633120 is 2133616.

It is a junction number, because it is equal to n+sod(n) for n = 61633091 and 61633100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171501 + ... + 171859.

It is an arithmetic number, because the mean of its divisors is an integer number (1615950).

Almost surely, 2^61633120 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 61633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77565600).

61633120 is an abundant number, since it is smaller than the sum of its proper divisors (93498080).

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

61633120 is a wasteful number, since it uses less digits than its factorization.

61633120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 61633120 is about 7850.6764039795. The cubic root of 61633120 is about 395.0069325280.

Adding to 61633120 its reverse (2133616), we get a palindrome (63766736).

The spelling of 61633120 in words is "sixty-one million, six hundred thirty-three thousand, one hundred twenty".