61967760 has 80 divisors (see below), whose sum is σ = 198320640. Its totient is φ = 15989760.

The previous prime is 61967707. The next prime is 61967767. The reversal of 61967760 is 6776916.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (61967767) 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, 3276 + ... + 11604.

It is an arithmetic number, because the mean of its divisors is an integer number (2479008).

Almost surely, 2^61967760 is an apocalyptic number.

61967760 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 61967760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99160320).

61967760 is an abundant number, since it is smaller than the sum of its proper divisors (136352880).

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

61967760 is a wasteful number, since it uses less digits than its factorization.

61967760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8376 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 61967760 is about 7871.9603657539. The cubic root of 61967760 is about 395.7205456188.

The spelling of 61967760 in words is "sixty-one million, nine hundred sixty-seven thousand, seven hundred sixty".