61981600 has 36 divisors (see below), whose sum is σ = 151314534. Its totient is φ = 24792320.

The previous prime is 61981571. The next prime is 61981607. The reversal of 61981600 is 618916.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 55890576 + 6091024 = 7476^2 + 2468^2 .

It is not an unprimeable number, because it can be changed into a prime (61981607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37939 + ... + 39538.

Almost surely, 2^61981600 is an apocalyptic number.

It is an amenable number.

61981600 is an abundant number, since it is smaller than the sum of its proper divisors (89332934).

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

61981600 is a wasteful number, since it uses less digits than its factorization.

61981600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77497 (or 77484 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 61981600 is about 7872.8393861427. The cubic root of 61981600 is about 395.7500037578.

The spelling of 61981600 in words is "sixty-one million, nine hundred eighty-one thousand, six hundred".