10674000 has 120 divisors (see below), whose sum is σ = 37343592. Its totient is φ = 2841600.

The previous prime is 10673947. The next prime is 10674007. The reversal of 10674000 is 47601.

10674000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 10419984 = 504^2 + 3228^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10674000² = 227868552000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10674007) 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, 17704 + ... + 18296.

Almost surely, 2^10674000 is an apocalyptic number.

10674000 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 10674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18671796).

10674000 is an abundant number, since it is smaller than the sum of its proper divisors (26669592).

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

10674000 is a wasteful number, since it uses less digits than its factorization.

10674000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10674000 is about 3267.1088136149. The cubic root of 10674000 is about 220.1789178142.

The spelling of 10674000 in words is "ten million, six hundred seventy-four thousand".