61405344 has 384 divisors, whose sum is σ = 243855360. Its totient is φ = 14515200.

The previous prime is 61405319. The next prime is 61405349. The reversal of 61405344 is 44350416.

61405344 is a `hidden beast` number, since 614 + 0 + 5 + 3 + 44 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61405349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 864829 + ... + 864899.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 2^61405344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61405344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

61405344 is an abundant number, since it is smaller than the sum of its proper divisors (182450016).

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

61405344 is a wasteful number, since it uses less digits than its factorization.

61405344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 61405344 is about 7836.1562005871. The cubic root of 61405344 is about 394.5197260590.

The spelling of 61405344 in words is "sixty-one million, four hundred five thousand, three hundred forty-four".