96351840 has 144 divisors (see below), whose sum is σ = 354161808. Its totient is φ = 23712768.

The previous prime is 96351821. The next prime is 96351841. The reversal of 96351840 is 4815369.

96351840 is a `hidden beast` number, since 9 + 635 + 18 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 96351795 and 96351804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96351841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16147 + ... + 21293.

It is an arithmetic number, because the mean of its divisors is an integer number (2459457).

Almost surely, 2^96351840 is an apocalyptic number.

96351840 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 96351840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177080904).

96351840 is an abundant number, since it is smaller than the sum of its proper divisors (257809968).

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

96351840 is a wasteful number, since it uses less digits than its factorization.

96351840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5181 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 96351840 is about 9815.8973099763. The cubic root of 96351840 is about 458.4443987222. Note that the first 3 decimals are identical.

The spelling of 96351840 in words is "ninety-six million, three hundred fifty-one thousand, eight hundred forty".