61682900 has 18 divisors (see below), whose sum is σ = 133852110. Its totient is φ = 24673120.

The previous prime is 61682897. The next prime is 61682903. The reversal of 61682900 is 928616.

It is an interprime number because it is at equal distance from previous prime (61682897) and next prime (61682903).

It can be written as a sum of positive squares in 3 ways, for example, as 3740356 + 57942544 = 1934^2 + 7612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61682903) 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, 308315 + ... + 308514.

Almost surely, 2^61682900 is an apocalyptic number.

It is an amenable number.

61682900 is an abundant number, since it is smaller than the sum of its proper divisors (72169210).

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

61682900 is a wasteful number, since it uses less digits than its factorization.

61682900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616843 (or 616836 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 61682900 is about 7853.8461915166. The cubic root of 61682900 is about 395.1132506544.

The spelling of 61682900 in words is "sixty-one million, six hundred eighty-two thousand, nine hundred".