61457376 has 96 divisors (see below), whose sum is σ = 168956928. Its totient is φ = 19537920.

The previous prime is 61457359. The next prime is 61457377. The reversal of 61457376 is 67375416.

61457376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (105840) is a multiple of the sum of its prime divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61457377) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 318336 + ... + 318528.

It is an arithmetic number, because the mean of its divisors is an integer number (1759968).

Almost surely, 2^61457376 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 61457376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84478464).

61457376 is an abundant number, since it is smaller than the sum of its proper divisors (107499552).

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

61457376 is a wasteful number, since it uses less digits than its factorization.

61457376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 61457376 is about 7839.4754926589. The cubic root of 61457376 is about 394.6311270855.

The spelling of 61457376 in words is "sixty-one million, four hundred fifty-seven thousand, three hundred seventy-six".