10672000 has 128 divisors (see below), whose sum is σ = 28641600. Its totient is φ = 3942400.

The previous prime is 10671989. The next prime is 10672001. The reversal of 10672000 is 27601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10672000² = 227783168000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10672001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367986 + ... + 368014.

Almost surely, 2^10672000 is an apocalyptic number.

10672000 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 10672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14320800).

10672000 is an abundant number, since it is smaller than the sum of its proper divisors (17969600).

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

10672000 is an equidigital number, since it uses as much as digits as its factorization.

10672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 10672000 is about 3266.8027182553. The cubic root of 10672000 is about 220.1651652272.

Adding to 10672000 its reverse (27601), we get a palindrome (10699601).

The spelling of 10672000 in words is "ten million, six hundred seventy-two thousand".