61254144 has 200 divisors, whose sum is σ = 209935968. Its totient is φ = 17418240.

The previous prime is 61254143. The next prime is 61254163. The reversal of 61254144 is 44145216.

61254144 is a `hidden beast` number, since 612 + 5 + 4 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61254143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 290199 + ... + 290409.

Almost surely, 2^61254144 is an apocalyptic number.

61254144 is a gapful number since it is divisible by the number (64) 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 61254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104967984).

61254144 is an abundant number, since it is smaller than the sum of its proper divisors (148681824).

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

61254144 is an equidigital number, since it uses as much as digits as its factorization.

61254144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 223 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 61254144 is about 7826.5026672199. The cubic root of 61254144 is about 394.1956478047.

It can be divided in two parts, 612 and 54144, that added together give a square (54756 = 234²).

The spelling of 61254144 in words is "sixty-one million, two hundred fifty-four thousand, one hundred forty-four".