61042968 has 96 divisors (see below), whose sum is σ = 195087360. Its totient is φ = 16873920.

The previous prime is 61042967. The next prime is 61042979. The reversal of 61042968 is 86924016.

It is a Cunningham number, because it is equal to 7813²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61042967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13671 + ... + 17577.

It is an arithmetic number, because the mean of its divisors is an integer number (2032160).

Almost surely, 2^61042968 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 61042968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97543680).

61042968 is an abundant number, since it is smaller than the sum of its proper divisors (134044392).

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

61042968 is a wasteful number, since it uses less digits than its factorization.

61042968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 61042968 is about 7812.9999360041. Note that the first 4 decimals coincide. The cubic root of 61042968 is about 393.7421247102.

The spelling of 61042968 in words is "sixty-one million, forty-two thousand, nine hundred sixty-eight".