10629000 has 96 divisors (see below), whose sum is σ = 35956440. Its totient is φ = 2832000.

The previous prime is 10628983. The next prime is 10629007. The reversal of 10629000 is 92601.

It can be written as a sum of positive squares in 4 ways, for example, as 5673924 + 4955076 = 2382^2 + 2226^2 .

It is a super-2 number, since 2×10629000² = 225951282000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10629007) 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, 8410 + ... + 9590.

Almost surely, 2^10629000 is an apocalyptic number.

10629000 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 10629000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17978220).

10629000 is an abundant number, since it is smaller than the sum of its proper divisors (25327440).

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

10629000 is a wasteful number, since it uses less digits than its factorization.

10629000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10629000 is about 3260.2147168553. The cubic root of 10629000 is about 219.8690680975.

The spelling of 10629000 in words is "ten million, six hundred twenty-nine thousand".