61685900 has 72 divisors (see below), whose sum is σ = 140616000. Its totient is φ = 23457280.

The previous prime is 61685891. The next prime is 61685903. The reversal of 61685900 is 958616.

It is a super-3 number, since 3×61685900³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (61685903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257981 + ... + 258219.

It is an arithmetic number, because the mean of its divisors is an integer number (1953000).

Almost surely, 2^61685900 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 61685900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70308000).

61685900 is an abundant number, since it is smaller than the sum of its proper divisors (78930100).

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

61685900 is a wasteful number, since it uses less digits than its factorization.

61685900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

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

The square root of 61685900 is about 7854.0371784198. The cubic root of 61685900 is about 395.1196561063.

The spelling of 61685900 in words is "sixty-one million, six hundred eighty-five thousand, nine hundred".