61680168 has 96 divisors (see below), whose sum is σ = 186226560. Its totient is φ = 18282240.

The previous prime is 61680167. The next prime is 61680191. The reversal of 61680168 is 86108616.

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

It is not an unprimeable number, because it can be changed into a prime (61680161) 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, 36396 + ... + 38052.

It is an arithmetic number, because the mean of its divisors is an integer number (1939860).

Almost surely, 2^61680168 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 61680168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93113280).

61680168 is an abundant number, since it is smaller than the sum of its proper divisors (124546392).

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

61680168 is a wasteful number, since it uses less digits than its factorization.

61680168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 61680168 is about 7853.6722620695. The cubic root of 61680168 is about 395.1074172423.

The spelling of 61680168 in words is "sixty-one million, six hundred eighty thousand, one hundred sixty-eight".