61344864 has 288 divisors, whose sum is σ = 220147200. Its totient is φ = 16765056.

The previous prime is 61344859. The next prime is 61344869. The reversal of 61344864 is 46844316.

It is an interprime number because it is at equal distance from previous prime (61344859) and next prime (61344869).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61344869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2667157 + ... + 2667179.

It is an arithmetic number, because the mean of its divisors is an integer number (764400).

Almost surely, 2^61344864 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 61344864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

61344864 is an abundant number, since it is smaller than the sum of its proper divisors (158802336).

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

61344864 is an equidigital number, since it uses as much as digits as its factorization.

61344864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 35 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 61344864 is about 7832.2962150317. The cubic root of 61344864 is about 394.3901586661.

The spelling of 61344864 in words is "sixty-one million, three hundred forty-four thousand, eight hundred sixty-four".