61027344 has 225 divisors, whose sum is σ = 212310351. Its totient is φ = 16873920.

The previous prime is 61027333. The next prime is 61027357. The reversal of 61027344 is 44372016.

The square root of 61027344 is 7812.

It is a perfect power (a square), and thus also a powerful number.

61027344 is a `hidden beast` number, since 610 + 2 + 7 + 3 + 44 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1968609 + ... + 1968639.

Almost surely, 2^61027344 is an apocalyptic number.

61027344 is the 7812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61027344

61027344 is an abundant number, since it is smaller than the sum of its proper divisors (151283007).

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

61027344 is a wasteful number, since it uses less digits than its factorization.

61027344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The cubic root of 61027344 is about 393.7085289656.

The spelling of 61027344 in words is "sixty-one million, twenty-seven thousand, three hundred forty-four".