10638000 has 160 divisors (see below), whose sum is σ = 38301120. Its totient is φ = 2822400.

The previous prime is 10637999. The next prime is 10638007. The reversal of 10638000 is 83601.

10638000 = 561² + 562² + ... + 592².

It is a super-2 number, since 2×10638000² = 226334088000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10638007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53902 + ... + 54098.

It is an arithmetic number, because the mean of its divisors is an integer number (239382).

Almost surely, 2^10638000 is an apocalyptic number.

10638000 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 10638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

10638000 is an abundant number, since it is smaller than the sum of its proper divisors (27663120).

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

10638000 is a wasteful number, since it uses less digits than its factorization.

10638000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10638000 is about 3261.5947019825. The cubic root of 10638000 is about 219.9311079056.

The spelling of 10638000 in words is "ten million, six hundred thirty-eight thousand".