61880000 has 280 divisors, whose sum is σ = 199960992. Its totient is φ = 18432000.

The previous prime is 61879969. The next prime is 61880003. The reversal of 61880000 is 8816.

It is a tau number, because it is divible by the number of its divisors (280).

It is not an unprimeable number, because it can be changed into a prime (61880003) 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 39 ways as a sum of consecutive naturals, for example, 3639992 + ... + 3640008.

Almost surely, 2^61880000 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 61880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99980496).

61880000 is an abundant number, since it is smaller than the sum of its proper divisors (138080992).

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

61880000 is a wasteful number, since it uses less digits than its factorization.

61880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 61880000 is about 7866.3841757189. The cubic root of 61880000 is about 395.5336482043.

Adding to 61880000 its reverse (8816), we get a palindrome (61888816).

The spelling of 61880000 in words is "sixty-one million, eight hundred eighty thousand".