93462768 has 160 divisors (see below), whose sum is σ = 316805120. Its totient is φ = 25816320.

The previous prime is 93462763. The next prime is 93462769. The reversal of 93462768 is 86726439.

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 (93462763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93246 + ... + 94242.

It is an arithmetic number, because the mean of its divisors is an integer number (1980032).

Almost surely, 2^93462768 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 93462768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158402560).

93462768 is an abundant number, since it is smaller than the sum of its proper divisors (223342352).

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

93462768 is a wasteful number, since it uses less digits than its factorization.

93462768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1040 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 93462768 is about 9667.6143903240. The cubic root of 93462768 is about 453.8157312057.

The spelling of 93462768 in words is "ninety-three million, four hundred sixty-two thousand, seven hundred sixty-eight".