61424144 has 40 divisors (see below), whose sum is σ = 126206208. Its totient is φ = 28909440.

The previous prime is 61424137. The next prime is 61424147. The reversal of 61424144 is 44142416.

It is a super-2 number, since 2×61424144² = 7545850932265472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61424147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16679 + ... + 20025.

Almost surely, 2^61424144 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 61424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63103104).

61424144 is an abundant number, since it is smaller than the sum of its proper divisors (64782064).

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

61424144 is a wasteful number, since it uses less digits than its factorization.

61424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3417 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 61424144 is about 7837.3556765021. The cubic root of 61424144 is about 394.5599843034.

The spelling of 61424144 in words is "sixty-one million, four hundred twenty-four thousand, one hundred forty-four".