10734000 has 80 divisors (see below), whose sum is σ = 34625760. Its totient is φ = 2860800.

The previous prime is 10733969. The next prime is 10734007. The reversal of 10734000 is 43701.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10734007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5106 + ... + 6894.

It is an arithmetic number, because the mean of its divisors is an integer number (432822).

Almost surely, 2^10734000 is an apocalyptic number.

10734000 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 10734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17312880).

10734000 is an abundant number, since it is smaller than the sum of its proper divisors (23891760).

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

10734000 is a wasteful number, since it uses less digits than its factorization.

10734000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 10734000 is about 3276.2783764509. The cubic root of 10734000 is about 220.5906990574.

Adding to 10734000 its reverse (43701), we get a palindrome (10777701).

The spelling of 10734000 in words is "ten million, seven hundred thirty-four thousand".