61467168 has 144 divisors (see below), whose sum is σ = 191328480. Its totient is φ = 17224704.

The previous prime is 61467143. The next prime is 61467169. The reversal of 61467168 is 86176416.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (61467169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343303 + ... + 343481.

It is an arithmetic number, because the mean of its divisors is an integer number (1328670).

Almost surely, 2^61467168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61467168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95664240).

61467168 is an abundant number, since it is smaller than the sum of its proper divisors (129861312).

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

61467168 is a wasteful number, since it uses less digits than its factorization.

61467168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 61467168 is about 7840.0999993623. The cubic root of 61467168 is about 394.6520848236.

The spelling of 61467168 in words is "sixty-one million, four hundred sixty-seven thousand, one hundred sixty-eight".