61344400 has 120 divisors (see below), whose sum is σ = 162739584. Its totient is φ = 22080000.

The previous prime is 61344397. The next prime is 61344403. The reversal of 61344400 is 444316.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61344397) and next prime (61344403).

It is a super-2 number, since 2×61344400² = 7526270822720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61344403) 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, 244275 + ... + 244525.

Almost surely, 2^61344400 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 61344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81369792).

61344400 is an abundant number, since it is smaller than the sum of its proper divisors (101395184).

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

61344400 is a wasteful number, since it uses less digits than its factorization.

61344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 61344400 is about 7832.2665940327. The cubic root of 61344400 is about 394.3891643015.

Adding to 61344400 its reverse (444316), we get a palindrome (61788716).

The spelling of 61344400 in words is "sixty-one million, three hundred forty-four thousand, four hundred".