61668500 has 48 divisors (see below), whose sum is σ = 139361040. Its totient is φ = 23811200.

The previous prime is 61668473. The next prime is 61668527. The reversal of 61668500 is 586616.

It is an interprime number because it is at equal distance from previous prime (61668473) and next prime (61668527).

It can be written as a sum of positive squares in 8 ways, for example, as 33131536 + 28536964 = 5756^2 + 5342^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12374 + ... + 16626.

It is an arithmetic number, because the mean of its divisors is an integer number (2903355).

Almost surely, 2^61668500 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 61668500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69680520).

61668500 is an abundant number, since it is smaller than the sum of its proper divisors (77692540).

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

61668500 is a wasteful number, since it uses less digits than its factorization.

61668500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 61668500 is about 7852.9293897246. The cubic root of 61668500 is about 395.0825015942.

The spelling of 61668500 in words is "sixty-one million, six hundred sixty-eight thousand, five hundred".