61320768 has 56 divisors (see below), whose sum is σ = 171797472. Its totient is φ = 19236864.

The previous prime is 61320767. The next prime is 61320811. The reversal of 61320768 is 86702316.

61320768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×61320768³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (61320767) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6130 + ... + 12657.

It is an arithmetic number, because the mean of its divisors is an integer number (3067812).

Almost surely, 2^61320768 is an apocalyptic number.

61320768 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

61320768 is an abundant number, since it is smaller than the sum of its proper divisors (110476704).

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

61320768 is a wasteful number, since it uses less digits than its factorization.

61320768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18819 (or 18809 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 61320768 is about 7830.7578177339. The cubic root of 61320768 is about 394.3385136482.

The spelling of 61320768 in words is "sixty-one million, three hundred twenty thousand, seven hundred sixty-eight".