61506980 has 24 divisors (see below), whose sum is σ = 130447800. Its totient is φ = 24358400.

The previous prime is 61506979. The next prime is 61506983. The reversal of 61506980 is 8960516.

It can be written as a sum of positive squares in 4 ways, for example, as 9205156 + 52301824 = 3034^2 + 7232^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61506980.

It is not an unprimeable number, because it can be changed into a prime (61506983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13205 + ... + 17244.

It is an arithmetic number, because the mean of its divisors is an integer number (5435325).

Almost surely, 2^61506980 is an apocalyptic number.

It is an amenable number.

61506980 is an abundant number, since it is smaller than the sum of its proper divisors (68940820).

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

61506980 is a wasteful number, since it uses less digits than its factorization.

61506980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30559 (or 30557 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 61506980 is about 7842.6385865983. The cubic root of 61506980 is about 394.7372712104.

The spelling of 61506980 in words is "sixty-one million, five hundred six thousand, nine hundred eighty".