61803126 has 192 divisors, whose sum is σ = 183845376. Its totient is φ = 14515200.

The previous prime is 61803101. The next prime is 61803127. The reversal of 61803126 is 62130816.

It is a super-3 number, since 3×61803126³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61803126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61803127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1013136 + ... + 1013196.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 2^61803126 is an apocalyptic number.

61803126 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61803126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91922688).

61803126 is an abundant number, since it is smaller than the sum of its proper divisors (122042250).

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

61803126 is a wasteful number, since it uses less digits than its factorization.

61803126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 61803126 is about 7861.4964224377. The cubic root of 61803126 is about 395.3697888331.

The spelling of 61803126 in words is "sixty-one million, eight hundred three thousand, one hundred twenty-six".