61595940 has 192 divisors, whose sum is σ = 208857600. Its totient is φ = 13547520.

The previous prime is 61595939. The next prime is 61595951. The reversal of 61595940 is 4959516.

61595940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 843744 + ... + 843816.

It is an arithmetic number, because the mean of its divisors is an integer number (1087800).

Almost surely, 2^61595940 is an apocalyptic number.

61595940 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 61595940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104428800).

61595940 is an abundant number, since it is smaller than the sum of its proper divisors (147261660).

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

61595940 is a wasteful number, since it uses less digits than its factorization.

61595940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 61595940 is about 7848.3080979279. The cubic root of 61595940 is about 394.9274876240.

The spelling of 61595940 in words is "sixty-one million, five hundred ninety-five thousand, nine hundred forty".