61512968 has 32 divisors (see below), whose sum is σ = 127712160. Its totient is φ = 27540480.

The previous prime is 61512967. The next prime is 61512977. The reversal of 61512968 is 86921516.

It is not an unprimeable number, because it can be changed into a prime (61512961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 680 + ... + 11112.

It is an arithmetic number, because the mean of its divisors is an integer number (3991005).

Almost surely, 2^61512968 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 61512968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63856080).

61512968 is an abundant number, since it is smaller than the sum of its proper divisors (66199192).

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

61512968 is a wasteful number, since it uses less digits than its factorization.

61512968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10517 (or 10513 counting only the distinct ones).

The product of its digits is 25920, while the sum is 38.

The square root of 61512968 is about 7843.0203365795. The cubic root of 61512968 is about 394.7500806514.

It can be divided in two parts, 6151 and 2968, that added together give a palindrome (9119).

The spelling of 61512968 in words is "sixty-one million, five hundred twelve thousand, nine hundred sixty-eight".