9626000 has 40 divisors (see below), whose sum is σ = 23280504. Its totient is φ = 3849600.

The previous prime is 9625997. The next prime is 9626003. The reversal of 9626000 is 6269.

It is an interprime number because it is at equal distance from previous prime (9625997) and next prime (9626003).

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 9560464 = 256^2 + 3092^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9626003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407 + ... + 4406.

Almost surely, 2^9626000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9626000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11640252).

9626000 is an abundant number, since it is smaller than the sum of its proper divisors (13654504).

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

9626000 is a wasteful number, since it uses less digits than its factorization.

9626000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 9626000 is about 3102.5795719046. The cubic root of 9626000 is about 212.7234097900.

The spelling of 9626000 in words is "nine million, six hundred twenty-six thousand".