61966960 has 80 divisors (see below), whose sum is σ = 159668352. Its totient is φ = 22176000.

The previous prime is 61966937. The next prime is 61966969. The reversal of 61966960 is 6966916.

61966960 = T₄₃₃ + T₄₃₄ + ... + T₇₆₇.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61966969) 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, 58435 + ... + 59485.

Almost surely, 2^61966960 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 61966960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79834176).

61966960 is an abundant number, since it is smaller than the sum of its proper divisors (97701392).

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

61966960 is a wasteful number, since it uses less digits than its factorization.

61966960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The square root of 61966960 is about 7871.9095523259. The cubic root of 61966960 is about 395.7188427021.

It can be divided in two parts, 61966 and 960, that added together give a palindrome (62926).

The spelling of 61966960 in words is "sixty-one million, nine hundred sixty-six thousand, nine hundred sixty".