61374144 has 112 divisors (see below), whose sum is σ = 177970688. Its totient is φ = 18551808.

The previous prime is 61374119. The next prime is 61374169. The reversal of 61374144 is 44147316.

61374144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61374119) and next prime (61374169).

It is a super-3 number, since 3×61374144³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167049 + ... + 167415.

It is an arithmetic number, because the mean of its divisors is an integer number (1589024).

Almost surely, 2^61374144 is an apocalyptic number.

61374144 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 61374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88985344).

61374144 is an abundant number, since it is smaller than the sum of its proper divisors (116596544).

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

61374144 is a wasteful number, since it uses less digits than its factorization.

61374144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 452 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 61374144 is about 7834.1651756904. The cubic root of 61374144 is about 394.4528963665.

The spelling of 61374144 in words is "sixty-one million, three hundred seventy-four thousand, one hundred forty-four".