96510400 has 126 divisors (see below), whose sum is σ = 276471888. Its totient is φ = 33062400.

The previous prime is 96510353. The next prime is 96510413. The reversal of 96510400 is 401569.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 77785 + ... + 79015.

Almost surely, 2^96510400 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 96510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138235944).

96510400 is an abundant number, since it is smaller than the sum of its proper divisors (179961488).

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

96510400 is a wasteful number, since it uses less digits than its factorization.

96510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 96510400 is about 9823.9706839953. The cubic root of 96510400 is about 458.6957383472.

Adding to 96510400 its reverse (401569), we get a palindrome (96911969).

The spelling of 96510400 in words is "ninety-six million, five hundred ten thousand, four hundred".