96416400 has 60 divisors (see below), whose sum is σ = 308857712. Its totient is φ = 25710720.

The previous prime is 96416389. The next prime is 96416407. The reversal of 96416400 is 461469.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×96416400² = 18592244377920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (96416407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38974 + ... + 41373.

Almost surely, 2^96416400 is an apocalyptic number.

It is an amenable number.

96416400 is an abundant number, since it is smaller than the sum of its proper divisors (212441312).

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

96416400 is a wasteful number, since it uses less digits than its factorization.

96416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80368 (or 80357 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 96416400 is about 9819.1853022540. The cubic root of 96416400 is about 458.5467685450.

Adding to 96416400 its reverse (461469), we get a palindrome (96877869).

The spelling of 96416400 in words is "ninety-six million, four hundred sixteen thousand, four hundred".