61278144 has 56 divisors (see below), whose sum is σ = 163128960. Its totient is φ = 20300544.

The previous prime is 61278143. The next prime is 61278193. The reversal of 61278144 is 44187216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61278143) 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, 33477 + ... + 35259.

Almost surely, 2^61278144 is an apocalyptic number.

61278144 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 61278144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81564480).

61278144 is an abundant number, since it is smaller than the sum of its proper divisors (101850816).

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

61278144 is a wasteful number, since it uses less digits than its factorization.

61278144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1967 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 61278144 is about 7828.0357689525. The cubic root of 61278144 is about 394.2471243776.

The spelling of 61278144 in words is "sixty-one million, two hundred seventy-eight thousand, one hundred forty-four".