61578760 has 64 divisors (see below), whose sum is σ = 147996720. Its totient is φ = 22978560.

The previous prime is 61578733. The next prime is 61578793. The reversal of 61578760 is 6787516.

61578760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 47032164 + 14546596 = 6858^2 + 3814^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 92830 + ... + 93490.

Almost surely, 2^61578760 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 61578760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73998360).

61578760 is an abundant number, since it is smaller than the sum of its proper divisors (86417960).

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

61578760 is a wasteful number, since it uses less digits than its factorization.

61578760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 61578760 is about 7847.2135181859. The cubic root of 61578760 is about 394.8907672106.

The spelling of 61578760 in words is "sixty-one million, five hundred seventy-eight thousand, seven hundred sixty".