96632640 has 336 divisors, whose sum is σ = 374446800. Its totient is φ = 22708224.

The previous prime is 96632639. The next prime is 96632647. The reversal of 96632640 is 4623669.

96632640 is a `hidden beast` number, since 9 + 6 + 6 + 3 + 2 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16064064 + 80568576 = 4008^2 + 8976^2 .

It is a super-2 number, since 2×96632640² = 18675734226739200, which contains 22 as substring.

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 = 96632595 and 96632604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96632647) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1085716 + ... + 1085804.

It is an arithmetic number, because the mean of its divisors is an integer number (1114425).

Almost surely, 2^96632640 is an apocalyptic number.

96632640 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 96632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187223400).

96632640 is an abundant number, since it is smaller than the sum of its proper divisors (277814160).

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

96632640 is a wasteful number, since it uses less digits than its factorization.

96632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 96632640 is about 9830.1902321369. The cubic root of 96632640 is about 458.8893178666.

The spelling of 96632640 in words is "ninety-six million, six hundred thirty-two thousand, six hundred forty".