65838000 has 80 divisors (see below), whose sum is σ = 212281056. Its totient is φ = 17555200.

The previous prime is 65837999. The next prime is 65838037. The reversal of 65838000 is 83856.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514 + ... + 11486.

Almost surely, 2^65838000 is an apocalyptic number.

65838000 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 65838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106140528).

65838000 is an abundant number, since it is smaller than the sum of its proper divisors (146443056).

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

65838000 is a wasteful number, since it uses less digits than its factorization.

65838000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10999 (or 10983 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 65838000 is about 8114.0618681398. The cubic root of 65838000 is about 403.7930842526.

The spelling of 65838000 in words is "sixty-five million, eight hundred thirty-eight thousand".