61763328 has 108 divisors (see below), whose sum is σ = 194347608. Its totient is φ = 18708480.

The previous prime is 61763291. The next prime is 61763333. The reversal of 61763328 is 82336716.

It is a happy number.

61763328 is a `hidden beast` number, since 6 + 17 + 633 + 2 + 8 = 666.

61763328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 61763292 and 61763301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24126 + ... + 26562.

Almost surely, 2^61763328 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 61763328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97173804).

61763328 is an abundant number, since it is smaller than the sum of its proper divisors (132584280).

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

61763328 is a wasteful number, since it uses less digits than its factorization.

61763328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2453 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 61763328 is about 7858.9648173280. The cubic root of 61763328 is about 395.2849047473.

The spelling of 61763328 in words is "sixty-one million, seven hundred sixty-three thousand, three hundred twenty-eight".