93961296 has 240 divisors, whose sum is σ = 322271040. Its totient is φ = 26282880.

The previous prime is 93961277. The next prime is 93961297. The reversal of 93961296 is 69216939.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93961297) 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, 7227786 + ... + 7227798.

It is an arithmetic number, because the mean of its divisors is an integer number (1342796).

Almost surely, 2^93961296 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 93961296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161135520).

93961296 is an abundant number, since it is smaller than the sum of its proper divisors (228309744).

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

93961296 is a wasteful number, since it uses less digits than its factorization.

93961296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 29 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 93961296 is about 9693.3635029333. The cubic root of 93961296 is about 454.6211812936.

The spelling of 93961296 in words is "ninety-three million, nine hundred sixty-one thousand, two hundred ninety-six".