61418016 has 72 divisors (see below), whose sum is σ = 190545264. Its totient is φ = 18610560.

The previous prime is 61418011. The next prime is 61418017. The reversal of 61418016 is 61081416.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (61418011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6526 + ... + 12861.

It is an arithmetic number, because the mean of its divisors is an integer number (2646462).

Almost surely, 2^61418016 is an apocalyptic number.

61418016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61418016 is an abundant number, since it is smaller than the sum of its proper divisors (129127248).

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

61418016 is a wasteful number, since it uses less digits than its factorization.

61418016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19414 (or 19403 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 61418016 is about 7836.9647185629. The cubic root of 61418016 is about 394.5468627314.

The spelling of 61418016 in words is "sixty-one million, four hundred eighteen thousand, sixteen".