61868400 has 240 divisors, whose sum is σ = 223259520. Its totient is φ = 14515200.

The previous prime is 61868399. The next prime is 61868407. The reversal of 61868400 is 486816.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61868407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 567546 + ... + 567654.

It is an arithmetic number, because the mean of its divisors is an integer number (930248).

Almost surely, 2^61868400 is an apocalyptic number.

61868400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111629760).

61868400 is an abundant number, since it is smaller than the sum of its proper divisors (161391120).

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

61868400 is a wasteful number, since it uses less digits than its factorization.

61868400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 61868400 is about 7865.6468265490. The cubic root of 61868400 is about 395.5089311334.

The spelling of 61868400 in words is "sixty-one million, eight hundred sixty-eight thousand, four hundred".