9976400 has 90 divisors (see below), whose sum is σ = 27936270. Its totient is φ = 3413760.

The previous prime is 9976381. The next prime is 9976409. The reversal of 9976400 is 46799.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1658944 + 8317456 = 1288^2 + 2884^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9976409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19346 + ... + 19854.

It is an arithmetic number, because the mean of its divisors is an integer number (310403).

Almost surely, 2^9976400 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 9976400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13968135).

9976400 is an abundant number, since it is smaller than the sum of its proper divisors (17959870).

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

9976400 is a wasteful number, since it uses less digits than its factorization.

9976400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 9976400 is about 3158.5439683500. The cubic root of 9976400 is about 215.2738533065.

The spelling of 9976400 in words is "nine million, nine hundred seventy-six thousand, four hundred".