61413066 has 120 divisors (see below), whose sum is σ = 163569252. Its totient is φ = 17107200.

The previous prime is 61413019. The next prime is 61413091. The reversal of 61413066 is 66031416.

61413066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 61168041 + 245025 = 7821^2 + 495^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 254706 + ... + 254946.

Almost surely, 2^61413066 is an apocalyptic number.

61413066 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 61413066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81784626).

61413066 is an abundant number, since it is smaller than the sum of its proper divisors (102156186).

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

61413066 is a wasteful number, since it uses less digits than its factorization.

61413066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 61413066 is about 7836.6489011567. The cubic root of 61413066 is about 394.5362629130.

The spelling of 61413066 in words is "sixty-one million, four hundred thirteen thousand, sixty-six".