61144512 has 224 divisors, whose sum is σ = 202777344. Its totient is φ = 15974400.

The previous prime is 61144481. The next prime is 61144519. The reversal of 61144512 is 21544116.

It is a happy number.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61144519) 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, 466687 + ... + 466817.

It is an arithmetic number, because the mean of its divisors is an integer number (905256).

Almost surely, 2^61144512 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 61144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101388672).

61144512 is an abundant number, since it is smaller than the sum of its proper divisors (141632832).

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

61144512 is a wasteful number, since it uses less digits than its factorization.

61144512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 61144512 is about 7819.4956359090. The cubic root of 61144512 is about 393.9603316673.

Adding to 61144512 its reverse (21544116), we get a palindrome (82688628).

The spelling of 61144512 in words is "sixty-one million, one hundred forty-four thousand, five hundred twelve".