993465216 has 128 divisors (see below), whose sum is σ = 2944250400. Its totient is φ = 329785344.

The previous prime is 993465181. The next prime is 993465233. The reversal of 993465216 is 612564399.

993465216 is a `hidden beast` number, since 99 + 34 + 6 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1164246 + ... + 1165098.

Almost surely, 2^993465216 is an apocalyptic number.

993465216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

993465216 is the 18198-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993465216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472125200).

993465216 is an abundant number, since it is smaller than the sum of its proper divisors (1950785184).

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

993465216 is a wasteful number, since it uses less digits than its factorization.

993465216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1195 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 993465216 is about 31519.2832405815. The cubic root of 993465216 is about 997.8169765431.

The spelling of 993465216 in words is "nine hundred ninety-three million, four hundred sixty-five thousand, two hundred sixteen".