10675600 has 60 divisors (see below), whose sum is σ = 27634516. Its totient is φ = 3939840.

The previous prime is 10675597. The next prime is 10675601. The reversal of 10675600 is 657601.

It can be written as a sum of positive squares in 6 ways, for example, as 1115136 + 9560464 = 1056^2 + 3092^2 .

It is a super-2 number, since 2×10675600² = 227936870720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10675601) 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, 4174 + ... + 6226.

Almost surely, 2^10675600 is an apocalyptic number.

10675600 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 10675600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13817258).

10675600 is an abundant number, since it is smaller than the sum of its proper divisors (16958916).

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

10675600 is a wasteful number, since it uses less digits than its factorization.

10675600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 10675600 is about 3267.3536692559. The cubic root of 10675600 is about 220.1899186470.

The spelling of 10675600 in words is "ten million, six hundred seventy-five thousand, six hundred".