61691600 has 30 divisors (see below), whose sum is σ = 148215030. Its totient is φ = 24676480.

The previous prime is 61691587. The next prime is 61691611. The reversal of 61691600 is 619616.

It can be written as a sum of positive squares in 3 ways, for example, as 7639696 + 54051904 = 2764^2 + 7352^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76715 + ... + 77514.

It is an arithmetic number, because the mean of its divisors is an integer number (4940501).

Almost surely, 2^61691600 is an apocalyptic number.

It is an amenable number.

61691600 is an abundant number, since it is smaller than the sum of its proper divisors (86523430).

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

61691600 is a wasteful number, since it uses less digits than its factorization.

61691600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154247 (or 154236 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 61691600 is about 7854.4000407415. The cubic root of 61691600 is about 395.1318258926.

The spelling of 61691600 in words is "sixty-one million, six hundred ninety-one thousand, six hundred".