905373216 has 144 divisors (see below), whose sum is σ = 2974110048. Its totient is φ = 258201600.

The previous prime is 905373187. The next prime is 905373253. The reversal of 905373216 is 612373509.

905373216 is a `hidden beast` number, since 90 + 537 + 32 + 1 + 6 = 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45451 + ... + 62261.

It is an arithmetic number, because the mean of its divisors is an integer number (20653542).

Almost surely, 2^905373216 is an apocalyptic number.

905373216 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 905373216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487055024).

905373216 is an abundant number, since it is smaller than the sum of its proper divisors (2068736832).

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

905373216 is a wasteful number, since it uses less digits than its factorization.

905373216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16855 (or 16844 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 905373216 is about 30089.4203333996. The cubic root of 905373216 is about 967.4069746105.

The spelling of 905373216 in words is "nine hundred five million, three hundred seventy-three thousand, two hundred sixteen".