61893400 has 48 divisors (see below), whose sum is σ = 146642400. Its totient is φ = 24286080.

The previous prime is 61893343. The next prime is 61893409. The reversal of 61893400 is 439816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61893409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7681 + ... + 13519.

It is an arithmetic number, because the mean of its divisors is an integer number (3055050).

Almost surely, 2^61893400 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 61893400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73321200).

61893400 is an abundant number, since it is smaller than the sum of its proper divisors (84749000).

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

61893400 is a wasteful number, since it uses less digits than its factorization.

61893400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5908 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 61893400 is about 7867.2358551146. The cubic root of 61893400 is about 395.5621968380.

The spelling of 61893400 in words is "sixty-one million, eight hundred ninety-three thousand, four hundred".