64121400 has 216 divisors, whose sum is σ = 250843320. Its totient is φ = 14636160.

The previous prime is 64121389. The next prime is 64121419. The reversal of 64121400 is 412146.

64121400 is a `hidden beast` number, since 641 + 21 + 4 + 0 + 0 = 666.

64121400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64121400² = 8223107875920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 87837 + ... + 88563.

Almost surely, 2^64121400 is an apocalyptic number.

64121400 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 64121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125421660).

64121400 is an abundant number, since it is smaller than the sum of its proper divisors (186721920).

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

64121400 is a wasteful number, since it uses less digits than its factorization.

64121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 64121400 is about 8007.5839052738. The cubic root of 64121400 is about 400.2527569179.

Adding to 64121400 its reverse (412146), we get a palindrome (64533546).

The spelling of 64121400 in words is "sixty-four million, one hundred twenty-one thousand, four hundred".