93681504 has 144 divisors (see below), whose sum is σ = 314496000. Its totient is φ = 25885440.

The previous prime is 93681503. The next prime is 93681517. The reversal of 93681504 is 40518639.

93681504 is a `hidden beast` number, since 93 + 68 + 1 + 504 = 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (93681503) 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, 61747 + ... + 63245.

It is an arithmetic number, because the mean of its divisors is an integer number (2184000).

Almost surely, 2^93681504 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 93681504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

93681504 is an abundant number, since it is smaller than the sum of its proper divisors (220814496).

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

93681504 is a wasteful number, since it uses less digits than its factorization.

93681504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1542 counting only the distinct ones).

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

The square root of 93681504 is about 9678.9206009761. The cubic root of 93681504 is about 454.1694852597.

The spelling of 93681504 in words is "ninety-three million, six hundred eighty-one thousand, five hundred four".