10672600 has 96 divisors (see below), whose sum is σ = 27252720. Its totient is φ = 3870720.

The previous prime is 10672589. The next prime is 10672603. The reversal of 10672600 is 627601.

10672600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10672600² = 227808781520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10672603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146164 + ... + 146236.

Almost surely, 2^10672600 is an apocalyptic number.

10672600 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 10672600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13626360).

10672600 is an abundant number, since it is smaller than the sum of its proper divisors (16580120).

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

10672600 is a wasteful number, since it uses less digits than its factorization.

10672600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 10672600 is about 3266.8945498745. The cubic root of 10672600 is about 220.1692911837.

The spelling of 10672600 in words is "ten million, six hundred seventy-two thousand, six hundred".