65138400 has 216 divisors, whose sum is σ = 234594360. Its totient is φ = 17003520.

The previous prime is 65138399. The next prime is 65138417. The reversal of 65138400 is 483156.

65138400 is a `hidden beast` number, since 651 + 3 + 8 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×65138400² = 8486022309120000, which contains 22 as substring.

It is a congruent number.

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, 597546 + ... + 597654.

It is an arithmetic number, because the mean of its divisors is an integer number (1086085).

Almost surely, 2^65138400 is an apocalyptic number.

65138400 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 65138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117297180).

65138400 is an abundant number, since it is smaller than the sum of its proper divisors (169455960).

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

65138400 is a wasteful number, since it uses less digits than its factorization.

65138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 65138400 is about 8070.8363878845. The cubic root of 65138400 is about 402.3577419931.

The spelling of 65138400 in words is "sixty-five million, one hundred thirty-eight thousand, four hundred".