61478144 has 162 divisors, whose sum is σ = 159907230. Its totient is φ = 23482368.

The previous prime is 61478143. The next prime is 61478159. The reversal of 61478144 is 44187416.

It can be written as a sum of positive squares in 3 ways, for example, as 12544 + 61465600 = 112^2 + 7840^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61478141) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2119922 + ... + 2119950.

Almost surely, 2^61478144 is an apocalyptic number.

61478144 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 61478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79953615).

61478144 is an abundant number, since it is smaller than the sum of its proper divisors (98429086).

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

61478144 is a wasteful number, since it uses less digits than its factorization.

61478144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 51 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 61478144 is about 7840.7999591878. The cubic root of 61478144 is about 394.6755740218.

The spelling of 61478144 in words is "sixty-one million, four hundred seventy-eight thousand, one hundred forty-four".