61608100 has 36 divisors (see below), whose sum is σ = 134030484. Its totient is φ = 24580480.

The previous prime is 61608091. The next prime is 61608133. The reversal of 61608100 is 180616.

It can be written as a sum of positive squares in 6 ways, for example, as 9998244 + 51609856 = 3162^2 + 7184^2 .

It is a super-2 number, since 2×61608100² = 7591115971220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76902 + ... + 77698.

It is an arithmetic number, because the mean of its divisors is an integer number (3723069).

Almost surely, 2^61608100 is an apocalyptic number.

It is an amenable number.

61608100 is an abundant number, since it is smaller than the sum of its proper divisors (72422384).

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

61608100 is a wasteful number, since it uses less digits than its factorization.

61608100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 61608100 is about 7849.0827489586. The cubic root of 61608100 is about 394.9534741975.

Adding to 61608100 its reverse (180616), we get a palindrome (61788716).

The spelling of 61608100 in words is "sixty-one million, six hundred eight thousand, one hundred".