96260400 has 150 divisors (see below), whose sum is σ = 345587132. Its totient is φ = 25660800.

The previous prime is 96260383. The next prime is 96260413. The reversal of 96260400 is 406269.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30915 + ... + 33885.

Almost surely, 2^96260400 is an apocalyptic number.

96260400 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 96260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172793566).

96260400 is an abundant number, since it is smaller than the sum of its proper divisors (249326732).

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

96260400 is a wasteful number, since it uses less digits than its factorization.

96260400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2981 counting only the distinct ones).

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

The square root of 96260400 is about 9811.2384539364. The cubic root of 96260400 is about 458.2993282393.

Adding to 96260400 its reverse (406269), we get a palindrome (96666669).

The spelling of 96260400 in words is "ninety-six million, two hundred sixty thousand, four hundred".