61808000 has 64 divisors (see below), whose sum is σ = 153709920. Its totient is φ = 24716800.

The previous prime is 61807981. The next prime is 61808009. The reversal of 61808000 is 80816.

61808000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61808009) 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 7 ways as a sum of consecutive naturals, for example, 14069 + ... + 17931.

Almost surely, 2^61808000 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 61808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76854960).

61808000 is an abundant number, since it is smaller than the sum of its proper divisors (91901920).

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

61808000 is an equidigital number, since it uses as much as digits as its factorization.

61808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3870 counting only the distinct ones).

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

The square root of 61808000 is about 7861.8064081991. The cubic root of 61808000 is about 395.3801819519.

Adding to 61808000 its reverse (80816), we get a palindrome (61888816).

The spelling of 61808000 in words is "sixty-one million, eight hundred eight thousand".