61344000 has 288 divisors, whose sum is σ = 229582080. Its totient is φ = 16128000.

The previous prime is 61343999. The next prime is 61344029. The reversal of 61344000 is 44316.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863965 + ... + 864035.

It is an arithmetic number, because the mean of its divisors is an integer number (797160).

Almost surely, 2^61344000 is an apocalyptic number.

61344000 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 61344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114791040).

61344000 is an abundant number, since it is smaller than the sum of its proper divisors (168238080).

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

61344000 is an equidigital number, since it uses as much as digits as its factorization.

61344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 61344000 is about 7832.2410585987. The cubic root of 61344000 is about 394.3883070865.

Adding to 61344000 its reverse (44316), we get a palindrome (61388316).

The spelling of 61344000 in words is "sixty-one million, three hundred forty-four thousand".