9956700 has 216 divisors, whose sum is σ = 36018528. Its totient is φ = 2280960.

The previous prime is 9956699. The next prime is 9956717. The reversal of 9956700 is 76599.

9956700 is a `hidden beast` number, since 99 + 567 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 269082 + ... + 269118.

Almost surely, 2^9956700 is an apocalyptic number.

9956700 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 9956700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18009264).

9956700 is an abundant number, since it is smaller than the sum of its proper divisors (26061828).

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

9956700 is a wasteful number, since it uses less digits than its factorization.

9956700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 9956700 is about 3155.4239017920. The cubic root of 9956700 is about 215.1320623659.

The spelling of 9956700 in words is "nine million, nine hundred fifty-six thousand, seven hundred".