96132400 has 240 divisors, whose sum is σ = 301369600. Its totient is φ = 28615680.

The previous prime is 96132397. The next prime is 96132409. The reversal of 96132400 is 423169.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96132409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691531 + ... + 691669.

Almost surely, 2^96132400 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 96132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150684800).

96132400 is an abundant number, since it is smaller than the sum of its proper divisors (205237200).

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

96132400 is a wasteful number, since it uses less digits than its factorization.

96132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 96132400 is about 9804.7131523569. The cubic root of 96132400 is about 458.0961005539.

Adding to 96132400 its reverse (423169), we get a palindrome (96555569).

It can be divided in two parts, 961 and 32400, that multiplied together give a square (31136400 = 5580²).

The spelling of 96132400 in words is "ninety-six million, one hundred thirty-two thousand, four hundred".