96411120 has 120 divisors (see below), whose sum is σ = 323769456. Its totient is φ = 23721984.

The previous prime is 96411103. The next prime is 96411137. The reversal of 96411120 is 2111469.

It is an interprime number because it is at equal distance from previous prime (96411103) and next prime (96411137).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39372 + ... + 41748.

Almost surely, 2^96411120 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 96411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161884728).

96411120 is an abundant number, since it is smaller than the sum of its proper divisors (227358336).

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

96411120 is a wasteful number, since it uses less digits than its factorization.

96411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 96411120 is about 9818.9164371635. The cubic root of 96411120 is about 458.5383980080.

Adding to 96411120 its reverse (2111469), we get a palindrome (98522589).

The spelling of 96411120 in words is "ninety-six million, four hundred eleven thousand, one hundred twenty".