10736000 has 128 divisors (see below), whose sum is σ = 29596320. Its totient is φ = 3840000.

The previous prime is 10735979. The next prime is 10736029. The reversal of 10736000 is 63701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 10736000.

It is a congruent number.

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, 175970 + ... + 176030.

Almost surely, 2^10736000 is an apocalyptic number.

10736000 is a gapful number since it is divisible by the number (10) 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 10736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798160).

10736000 is an abundant number, since it is smaller than the sum of its proper divisors (18860320).

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

10736000 is an equidigital number, since it uses as much as digits as its factorization.

10736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 10736000 is about 3276.5835866036. The cubic root of 10736000 is about 220.6043986413.

Adding to 10736000 its reverse (63701), we get a palindrome (10799701).

The spelling of 10736000 in words is "ten million, seven hundred thirty-six thousand".