61578000 has 240 divisors, whose sum is σ = 235377792. Its totient is φ = 14880000.

The previous prime is 61577987. The next prime is 61578007. The reversal of 61578000 is 87516.

61578000 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 (240).

It is not an unprimeable number, because it can be changed into a prime (61578007) 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 47 ways as a sum of consecutive naturals, for example, 197845 + ... + 198155.

Almost surely, 2^61578000 is an apocalyptic number.

61578000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117688896).

61578000 is an abundant number, since it is smaller than the sum of its proper divisors (173799792).

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

61578000 is a wasteful number, since it uses less digits than its factorization.

61578000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 61578000 is about 7847.1650932040. The cubic root of 61578000 is about 394.8891426341.

The spelling of 61578000 in words is "sixty-one million, five hundred seventy-eight thousand".