61966080 has 288 divisors, whose sum is σ = 241355520. Its totient is φ = 14929920.

The previous prime is 61966067. The next prime is 61966081. The reversal of 61966080 is 8066916.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61966081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380079 + ... + 380241.

It is an arithmetic number, because the mean of its divisors is an integer number (838040).

Almost surely, 2^61966080 is an apocalyptic number.

61966080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120677760).

61966080 is an abundant number, since it is smaller than the sum of its proper divisors (179389440).

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

61966080 is a wasteful number, since it uses less digits than its factorization.

61966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 61966080 is about 7871.8536571763. The cubic root of 61966080 is about 395.7169694768.

The spelling of 61966080 in words is "sixty-one million, nine hundred sixty-six thousand, eighty".