93534336 has 144 divisors (see below), whose sum is σ = 313287390. Its totient is φ = 26707968.

The previous prime is 93534319. The next prime is 93534361. The reversal of 93534336 is 63343539.

93534336 is a `hidden beast` number, since 93 + 534 + 3 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85377600 + 8156736 = 9240^2 + 2856^2 .

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 self number, because there is not a number n which added to its sum of digits gives 93534336.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55620 + ... + 57276.

Almost surely, 2^93534336 is an apocalyptic number.

93534336 is a gapful number since it is divisible by the number (96) 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 93534336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156643695).

93534336 is an abundant number, since it is smaller than the sum of its proper divisors (219753054).

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

93534336 is a wasteful number, since it uses less digits than its factorization.

93534336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1669 counting only the distinct ones).

The product of its digits is 87480, while the sum is 36.

The square root of 93534336 is about 9671.3151122275. The cubic root of 93534336 is about 453.9315363133.

It can be divided in two parts, 9353 and 4336, that added together give a square (13689 = 117²).

The spelling of 93534336 in words is "ninety-three million, five hundred thirty-four thousand, three hundred thirty-six".