61538304 has 68 divisors (see below), whose sum is σ = 164625176. Its totient is φ = 20447232.

The previous prime is 61538297. The next prime is 61538333. The reversal of 61538304 is 40383516.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196452 + ... + 196764.

Almost surely, 2^61538304 is an apocalyptic number.

61538304 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 61538304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82312588).

61538304 is an abundant number, since it is smaller than the sum of its proper divisors (103086872).

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

61538304 is an frugal number, since it uses more digits than its factorization.

61538304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 61538304 is about 7844.6353643748. The cubic root of 61538304 is about 394.8042698495.

The spelling of 61538304 in words is "sixty-one million, five hundred thirty-eight thousand, three hundred four".