61441296 has 120 divisors (see below), whose sum is σ = 186934464. Its totient is φ = 17337600.

The previous prime is 61441291. The next prime is 61441319. The reversal of 61441296 is 69214416.

It is not an unprimeable number, because it can be changed into a prime (61441291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355066 + ... + 355238.

Almost surely, 2^61441296 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 61441296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93467232).

61441296 is an abundant number, since it is smaller than the sum of its proper divisors (125493168).

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

61441296 is a wasteful number, since it uses less digits than its factorization.

61441296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 336 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 61441296 is about 7838.4498467490. The cubic root of 61441296 is about 394.5967063620.

It can be divided in two parts, 6144 and 1296, that multiplied together give a 5-th power (7962624 = 24⁵).

The spelling of 61441296 in words is "sixty-one million, four hundred forty-one thousand, two hundred ninety-six".