61356768 has 96 divisors (see below), whose sum is σ = 177811200. Its totient is φ = 18370560.

The previous prime is 61356751. The next prime is 61356769. The reversal of 61356768 is 86765316.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (181440) is a multiple of the sum of its prime factors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61356769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102133 + ... + 102731.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 2^61356768 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 61356768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88905600).

61356768 is an abundant number, since it is smaller than the sum of its proper divisors (116454432).

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

61356768 is a wasteful number, since it uses less digits than its factorization.

61356768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 712 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 61356768 is about 7833.0561085696. The cubic root of 61356768 is about 394.4156675488.

The spelling of 61356768 in words is "sixty-one million, three hundred fifty-six thousand, seven hundred sixty-eight".