61975680 has 192 divisors, whose sum is σ = 215032320. Its totient is φ = 15175680.

The previous prime is 61975633. The next prime is 61975681. The reversal of 61975680 is 8657916.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×61975680² = 7681969822924800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61975681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324385 + ... + 324575.

It is an arithmetic number, because the mean of its divisors is an integer number (1119960).

Almost surely, 2^61975680 is an apocalyptic number.

61975680 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 61975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107516160).

61975680 is an abundant number, since it is smaller than the sum of its proper divisors (153056640).

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

61975680 is a wasteful number, since it uses less digits than its factorization.

61975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 61975680 is about 7872.4634009946. The cubic root of 61975680 is about 395.7374037033.

The spelling of 61975680 in words is "sixty-one million, nine hundred seventy-five thousand, six hundred eighty".