9651600 has 180 divisors, whose sum is σ = 38378496. Its totient is φ = 2200320.

The previous prime is 9651599. The next prime is 9651611. The reversal of 9651600 is 61569.

9651600 = T₃₇ + T₃₈ + ... + T₃₈₆.

9651600 is a `hidden beast` number, since 9 + 6 + 51 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25009 + ... + 25391.

Almost surely, 2^9651600 is an apocalyptic number.

9651600 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 9651600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19189248).

9651600 is an abundant number, since it is smaller than the sum of its proper divisors (28726896).

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

9651600 is a wasteful number, since it uses less digits than its factorization.

9651600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9651600 is about 3106.7024318399. The cubic root of 9651600 is about 212.9118196122.

The spelling of 9651600 in words is "nine million, six hundred fifty-one thousand, six hundred".