61456000 has 128 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 23372800.

The previous prime is 61455971. The next prime is 61456019. The reversal of 61456000 is 65416.

61456000 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 (128).

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 15 ways as a sum of consecutive naturals, for example, 367917 + ... + 368083.

It is an arithmetic number, because the mean of its divisors is an integer number (1253070).

Almost surely, 2^61456000 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 61456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

61456000 is an abundant number, since it is smaller than the sum of its proper divisors (98936960).

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

61456000 is a wasteful number, since it uses less digits than its factorization.

61456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 61456000 is about 7839.3877311943. The cubic root of 61456000 is about 394.6281818654.

The spelling of 61456000 in words is "sixty-one million, four hundred fifty-six thousand".