9662400 has 252 divisors, whose sum is σ = 38078664. Its totient is φ = 2304000.

The previous prime is 9662399. The next prime is 9662407. The reversal of 9662400 is 42669.

9662400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9662407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158370 + ... + 158430.

Almost surely, 2^9662400 is an apocalyptic number.

9662400 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 9662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19039332).

9662400 is an abundant number, since it is smaller than the sum of its proper divisors (28416264).

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

9662400 is a wasteful number, since it uses less digits than its factorization.

9662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 9662400 is about 3108.4401232773. The cubic root of 9662400 is about 212.9912050855.

The spelling of 9662400 in words is "nine million, six hundred sixty-two thousand, four hundred".