61583328 has 120 divisors (see below), whose sum is σ = 189172368. Its totient is φ = 19616256.

The previous prime is 61583323. The next prime is 61583371. The reversal of 61583328 is 82338516.

61583328 is a `hidden beast` number, since 615 + 8 + 3 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61583292 and 61583301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61583323) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59100 + ... + 60132.

Almost surely, 2^61583328 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 61583328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94586184).

61583328 is an abundant number, since it is smaller than the sum of its proper divisors (127589040).

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

61583328 is a wasteful number, since it uses less digits than its factorization.

61583328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1061 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 61583328 is about 7847.5045715183. The cubic root of 61583328 is about 394.9005314888.

The spelling of 61583328 in words is "sixty-one million, five hundred eighty-three thousand, three hundred twenty-eight".