93677664 has 48 divisors (see below), whose sum is σ = 246985200. Its totient is φ = 31088640.

The previous prime is 93677651. The next prime is 93677677. The reversal of 93677664 is 46677639.

It is an interprime number because it is at equal distance from previous prime (93677651) and next prime (93677677).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 21112 + ... + 25160.

It is an arithmetic number, because the mean of its divisors is an integer number (5145525).

Almost surely, 2^93677664 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 93677664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123492600).

93677664 is an abundant number, since it is smaller than the sum of its proper divisors (153307536).

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

93677664 is a wasteful number, since it uses less digits than its factorization.

93677664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303 (or 4295 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 48.

The square root of 93677664 is about 9678.7222297161. The cubic root of 93677664 is about 454.1632797136.

The spelling of 93677664 in words is "ninety-three million, six hundred seventy-seven thousand, six hundred sixty-four".