96963040 has 96 divisors (see below), whose sum is σ = 239936256. Its totient is φ = 36986880.

The previous prime is 96963011. The next prime is 96963059. The reversal of 96963040 is 4036969.

It is a super-2 number, since 2×96963040² = 18803662252083200, which contains 22 as substring.

It is a congruent number.

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, 560394 + ... + 560566.

It is an arithmetic number, because the mean of its divisors is an integer number (2499336).

Almost surely, 2^96963040 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 96963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119968128).

96963040 is an abundant number, since it is smaller than the sum of its proper divisors (142973216).

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

96963040 is a wasteful number, since it uses less digits than its factorization.

96963040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 96963040 is about 9846.9812633111. The cubic root of 96963040 is about 459.4117243690.

It can be divided in two parts, 969 and 63040, that added together give a square (64009 = 253²).

The spelling of 96963040 in words is "ninety-six million, nine hundred sixty-three thousand, forty".