61397856 has 216 divisors, whose sum is σ = 202902336. Its totient is φ = 17487360.

The previous prime is 61397827. The next prime is 61397867. The reversal of 61397856 is 65879316.

It is a happy number.

61397856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (272160) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1980561 + ... + 1980591.

Almost surely, 2^61397856 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 61397856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101451168).

61397856 is an abundant number, since it is smaller than the sum of its proper divisors (141504480).

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

61397856 is a wasteful number, since it uses less digits than its factorization.

61397856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 61397856 is about 7835.6784007513. The cubic root of 61397856 is about 394.5036889977.

The spelling of 61397856 in words is "sixty-one million, three hundred ninety-seven thousand, eight hundred fifty-six".