9612000 has 192 divisors, whose sum is σ = 35380800. Its totient is φ = 2534400.

The previous prime is 9611993. The next prime is 9612007. The reversal of 9612000 is 2169.

9612000 = T₃₂₈ + T₃₂₉ + ... + T₄₅₂.

9612000 = 60³ + 61³ + ... + 84³.

It is an interprime number because it is at equal distance from previous prime (9611993) and next prime (9612007).

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 (9612007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107956 + ... + 108044.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 2^9612000 is an apocalyptic number.

9612000 is a gapful number since it is divisible by the number (90) 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 9612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

9612000 is an abundant number, since it is smaller than the sum of its proper divisors (25768800).

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

9612000 is a wasteful number, since it uses less digits than its factorization.

9612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

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

The square root of 9612000 is about 3100.3225638633. The cubic root of 9612000 is about 212.6202318450.

Adding to 9612000 its reverse (2169), we get a palindrome (9614169).

The spelling of 9612000 in words is "nine million, six hundred twelve thousand".