61467120 has 320 divisors, whose sum is σ = 249984000. Its totient is φ = 13685760.

The previous prime is 61467089. The next prime is 61467127. The reversal of 61467120 is 2176416.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61467127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308781 + ... + 308979.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^61467120 is an apocalyptic number.

61467120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61467120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992000).

61467120 is an abundant number, since it is smaller than the sum of its proper divisors (188516880).

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

61467120 is a wasteful number, since it uses less digits than its factorization.

61467120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 61467120 is about 7840.0969381762. The cubic root of 61467120 is about 394.6519820951.

The spelling of 61467120 in words is "sixty-one million, four hundred sixty-seven thousand, one hundred twenty".