61424160 has 192 divisors, whose sum is σ = 224550144. Its totient is φ = 13824000.

The previous prime is 61424149. The next prime is 61424161. The reversal of 61424160 is 6142416.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 61424160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61424161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339270 + ... + 339450.

It is an arithmetic number, because the mean of its divisors is an integer number (1169532).

Almost surely, 2^61424160 is an apocalyptic number.

61424160 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 61424160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112275072).

61424160 is an abundant number, since it is smaller than the sum of its proper divisors (163125984).

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

61424160 is a wasteful number, since it uses less digits than its factorization.

61424160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 61424160 is about 7837.3566972545. The cubic root of 61424160 is about 394.5600185623.

Adding to 61424160 its reverse (6142416), we get a palindrome (67566576).

The spelling of 61424160 in words is "sixty-one million, four hundred twenty-four thousand, one hundred sixty".