96129440 has 96 divisors (see below), whose sum is σ = 249915456. Its totient is φ = 34652160.

The previous prime is 96129437. The next prime is 96129457. The reversal of 96129440 is 4492169.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 96129440.

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 15 ways as a sum of consecutive naturals, for example, 339539 + ... + 339821.

It is an arithmetic number, because the mean of its divisors is an integer number (2603286).

Almost surely, 2^96129440 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 96129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124957728).

96129440 is an abundant number, since it is smaller than the sum of its proper divisors (153786016).

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

96129440 is a wasteful number, since it uses less digits than its factorization.

96129440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 96129440 is about 9804.5622033827. The cubic root of 96129440 is about 458.0913987802.

It can be divided in two parts, 96129 and 440, that added together give a palindrome (96569).

The spelling of 96129440 in words is "ninety-six million, one hundred twenty-nine thousand, four hundred forty".