61989600 has 144 divisors (see below), whose sum is σ = 210736512. Its totient is φ = 15797760.

The previous prime is 61989563. The next prime is 61989601. The reversal of 61989600 is 698916.

61989600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61989601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54639 + ... + 55761.

It is an arithmetic number, because the mean of its divisors is an integer number (1463448).

Almost surely, 2^61989600 is an apocalyptic number.

61989600 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 61989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105368256).

61989600 is an abundant number, since it is smaller than the sum of its proper divisors (148746912).

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

61989600 is a wasteful number, since it uses less digits than its factorization.

61989600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 61989600 is about 7873.3474456549. The cubic root of 61989600 is about 395.7670295839.

The spelling of 61989600 in words is "sixty-one million, nine hundred eighty-nine thousand, six hundred".