61226496 has 160 divisors (see below), whose sum is σ = 187249920. Its totient is φ = 19740672.

The previous prime is 61226491. The next prime is 61226507. The reversal of 61226496 is 69462216.

61226496 is a `hidden beast` number, since 6 + 1 + 2 + 2 + 649 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 61226496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61226491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594381 + ... + 594483.

It is an arithmetic number, because the mean of its divisors is an integer number (1170312).

Almost surely, 2^61226496 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 61226496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93624960).

61226496 is an abundant number, since it is smaller than the sum of its proper divisors (126023424).

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

61226496 is a wasteful number, since it uses less digits than its factorization.

61226496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 61226496 is about 7824.7361616862. The cubic root of 61226496 is about 394.1363301230.

The spelling of 61226496 in words is "sixty-one million, two hundred twenty-six thousand, four hundred ninety-six".