10672800 has 72 divisors (see below), whose sum is σ = 34747776. Its totient is φ = 2845440.

The previous prime is 10672789. The next prime is 10672801. The reversal of 10672800 is 827601.

It is a super-2 number, since 2×10672800² = 227817319680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10672801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177 + ... + 4623.

It is an arithmetic number, because the mean of its divisors is an integer number (482608).

Almost surely, 2^10672800 is an apocalyptic number.

10672800 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 10672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17373888).

10672800 is an abundant number, since it is smaller than the sum of its proper divisors (24074976).

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

10672800 is a wasteful number, since it uses less digits than its factorization.

10672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4470 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 10672800 is about 3266.9251598407. The cubic root of 10672800 is about 220.1706664682.

The spelling of 10672800 in words is "ten million, six hundred seventy-two thousand, eight hundred".