61846400 has 192 divisors, whose sum is σ = 191237760. Its totient is φ = 19200000.

The previous prime is 61846399. The next prime is 61846417. The reversal of 61846400 is 464816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246275 + ... + 246525.

It is an arithmetic number, because the mean of its divisors is an integer number (996030).

Almost surely, 2^61846400 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 61846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95618880).

61846400 is an abundant number, since it is smaller than the sum of its proper divisors (129391360).

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

61846400 is a wasteful number, since it uses less digits than its factorization.

61846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 61846400 is about 7864.2482158182. The cubic root of 61846400 is about 395.4620454424.

The spelling of 61846400 in words is "sixty-one million, eight hundred forty-six thousand, four hundred".