96451600 has 240 divisors, whose sum is σ = 292144000. Its totient is φ = 30481920.

The previous prime is 96451577. The next prime is 96451601. The reversal of 96451600 is 615469.

It is a super-2 number, since 2×96451600² = 18605822285120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96451601) 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, 2606782 + ... + 2606818.

Almost surely, 2^96451600 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 96451600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146072000).

96451600 is an abundant number, since it is smaller than the sum of its proper divisors (195692400).

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

96451600 is a wasteful number, since it uses less digits than its factorization.

96451600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 96451600 is about 9820.9775480855. The cubic root of 96451600 is about 458.6025643169.

It can be divided in two parts, 9 and 6451600, that multiplied together give a square (58064400 = 7620²).

The spelling of 96451600 in words is "ninety-six million, four hundred fifty-one thousand, six hundred".