61286400 has 432 divisors, whose sum is σ = 264045600. Its totient is φ = 13271040.

The previous prime is 61286399. The next prime is 61286429. The reversal of 61286400 is 468216.

61286400 is a `hidden beast` number, since 6 + 12 + 8 + 640 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3225591 + ... + 3225609.

Almost surely, 2^61286400 is an apocalyptic number.

61286400 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 61286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132022800).

61286400 is an abundant number, since it is smaller than the sum of its proper divisors (202759200).

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

61286400 is a wasteful number, since it uses less digits than its factorization.

61286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 61286400 is about 7828.5630865440. The cubic root of 61286400 is about 394.2648292115.

The spelling of 61286400 in words is "sixty-one million, two hundred eighty-six thousand, four hundred".