61440096 has 72 divisors (see below), whose sum is σ = 167252904. Its totient is φ = 19747840.

The previous prime is 61440089. The next prime is 61440097. The reversal of 61440096 is 69004416.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61440097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80356 + ... + 81116.

It is an arithmetic number, because the mean of its divisors is an integer number (2322957).

Almost surely, 2^61440096 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 61440096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83626452).

61440096 is an abundant number, since it is smaller than the sum of its proper divisors (105812808).

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

61440096 is a wasteful number, since it uses less digits than its factorization.

61440096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 61440096 is about 7838.3733006281. The cubic root of 61440096 is about 394.5941374104.

It can be divided in two parts, 614400 and 96, that multiplied together give a square (58982400 = 7680²).

The spelling of 61440096 in words is "sixty-one million, four hundred forty thousand, ninety-six".