61333568 has 56 divisors (see below), whose sum is σ = 127406400. Its totient is φ = 29265408.

The previous prime is 61333553. The next prime is 61333583. The reversal of 61333568 is 86533316.

It is an interprime number because it is at equal distance from previous prime (61333553) and next prime (61333583).

It is a super-2 number, since 2×61333568² = 7523613127221248, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139493 + ... + 139931.

Almost surely, 2^61333568 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 61333568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63703200).

61333568 is an abundant number, since it is smaller than the sum of its proper divisors (66072832).

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

61333568 is a wasteful number, since it uses less digits than its factorization.

61333568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 537 counting only the distinct ones).

The product of its digits is 38880, while the sum is 35.

The square root of 61333568 is about 7831.5750650811. The cubic root of 61333568 is about 394.3659496049.

The spelling of 61333568 in words is "sixty-one million, three hundred thirty-three thousand, five hundred sixty-eight".