10738000 has 160 divisors (see below), whose sum is σ = 32497920. Its totient is φ = 3340800.

The previous prime is 10737953. The next prime is 10738019. The reversal of 10738000 is 83701.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 181971 + ... + 182029.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

Almost surely, 2^10738000 is an apocalyptic number.

10738000 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 10738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248960).

10738000 is an abundant number, since it is smaller than the sum of its proper divisors (21759920).

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

10738000 is a wasteful number, since it uses less digits than its factorization.

10738000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10738000 is about 3276.8887683289. Note that the first 3 decimals coincide. The cubic root of 10738000 is about 220.6180965239.

The spelling of 10738000 in words is "ten million, seven hundred thirty-eight thousand".