61418385 has 64 divisors (see below), whose sum is σ = 126197760. Its totient is φ = 27760320.

The previous prime is 61418381. The next prime is 61418419. The reversal of 61418385 is 58381416.

61418385 is a `hidden beast` number, since 614 + 1 + 8 + 38 + 5 = 666.

61418385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61418385 - 2² = 61418381 is a prime.

It is a super-3 number, since 3×61418385³ (a number of 24 digits) contains 333 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61418381) 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 63 ways as a sum of consecutive naturals, for example, 97020 + ... + 97650.

It is an arithmetic number, because the mean of its divisors is an integer number (1971840).

Almost surely, 2^61418385 is an apocalyptic number.

It is an amenable number.

61418385 is an abundant number, since it is smaller than the sum of its proper divisors (64779375).

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

61418385 is a wasteful number, since it uses less digits than its factorization.

61418385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 749 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 61418385 is about 7836.9882608053. The cubic root of 61418385 is about 394.5476528768.

The spelling of 61418385 in words is "sixty-one million, four hundred eighteen thousand, three hundred eighty-five".