93485376 has 84 divisors (see below), whose sum is σ = 270598900. Its totient is φ = 30855168.

The previous prime is 93485351. The next prime is 93485387. The reversal of 93485376 is 67358439.

It can be written as a sum of positive squares in 2 ways, for example, as 41990400 + 51494976 = 6480^2 + 7176^2 .

It is a super-2 number, since 2×93485376² = 17479031051722752, 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62040 + ... + 63528.

Almost surely, 2^93485376 is an apocalyptic number.

93485376 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 93485376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135299450).

93485376 is an abundant number, since it is smaller than the sum of its proper divisors (177113524).

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

93485376 is a wasteful number, since it uses less digits than its factorization.

93485376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1603 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 93485376 is about 9668.7835842985. The cubic root of 93485376 is about 453.8523198891.

The spelling of 93485376 in words is "ninety-three million, four hundred eighty-five thousand, three hundred seventy-six".