61268400 has 300 divisors, whose sum is σ = 230701504. Its totient is φ = 15552000.

The previous prime is 61268399. The next prime is 61268419. The reversal of 61268400 is 486216.

61268400 is a `hidden beast` number, since 612 + 6 + 8 + 40 + 0 = 666.

61268400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1004370 + ... + 1004430.

Almost surely, 2^61268400 is an apocalyptic number.

61268400 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 61268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115350752).

61268400 is an abundant number, since it is smaller than the sum of its proper divisors (169433104).

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

61268400 is a wasteful number, since it uses less digits than its factorization.

61268400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

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

The square root of 61268400 is about 7827.4133658572. The cubic root of 61268400 is about 394.2262265100.

The spelling of 61268400 in words is "sixty-one million, two hundred sixty-eight thousand, four hundred".