61576640 has 56 divisors (see below), whose sum is σ = 147322032. Its totient is φ = 24514560.

The previous prime is 61576631. The next prime is 61576643. The reversal of 61576640 is 4667516.

61576640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61576640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61576643) 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 7 ways as a sum of consecutive naturals, for example, 107555 + ... + 108125.

Almost surely, 2^61576640 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 61576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73661016).

61576640 is an abundant number, since it is smaller than the sum of its proper divisors (85745392).

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

61576640 is a wasteful number, since it uses less digits than its factorization.

61576640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 61576640 is about 7847.0784372275. The cubic root of 61576640 is about 394.8862354639.

The spelling of 61576640 in words is "sixty-one million, five hundred seventy-six thousand, six hundred forty".