61803000 has 320 divisors, whose sum is σ = 249163200. Its totient is φ = 13996800.

The previous prime is 61802989. The next prime is 61803013. The reversal of 61803000 is 30816.

It is a super-2 number, since 2×61803000² = 7639221618000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 566946 + ... + 567054.

It is an arithmetic number, because the mean of its divisors is an integer number (778635).

Almost surely, 2^61803000 is an apocalyptic number.

61803000 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 61803000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124581600).

61803000 is an abundant number, since it is smaller than the sum of its proper divisors (187360200).

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

61803000 is a wasteful number, since it uses less digits than its factorization.

61803000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61803000 is about 7861.4884086921. The cubic root of 61803000 is about 395.3695201486.

Adding to 61803000 its reverse (30816), we get a palindrome (61833816).

It can be divided in two parts, 6180 and 3000, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 61803000 in words is "sixty-one million, eight hundred three thousand".