10648000 has 112 divisors (see below), whose sum is σ = 29004768. Its totient is φ = 3872000.

The previous prime is 10647983. The next prime is 10648021. The reversal of 10648000 is 84601.

The cubic root of 10648000 is 220.

It is a perfect power (a cube), and thus also a powerful number.

It is a super-2 number, since 2×10648000² = 226759808000000, which contains 22 as substring.

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, 967995 + ... + 968005.

Almost surely, 2^10648000 is an apocalyptic number.

10648000 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 10648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14502384).

10648000 is an abundant number, since it is smaller than the sum of its proper divisors (18356768).

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

10648000 is an frugal number, since it uses more digits than its factorization.

10648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10648000 is about 3263.1273343221.

The spelling of 10648000 in words is "ten million, six hundred forty-eight thousand".