901214208 has 208 divisors, whose sum is σ = 2771834400. Its totient is φ = 289013760.

The previous prime is 901214207. The next prime is 901214219. The reversal of 901214208 is 802412109.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901214201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3207028 + ... + 3207308.

Almost surely, 2^901214208 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 901214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385917200).

901214208 is an abundant number, since it is smaller than the sum of its proper divisors (1870620192).

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

901214208 is a wasteful number, since it uses less digits than its factorization.

901214208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 901214208 is about 30020.2299791324. The cubic root of 901214208 is about 965.9233765079.

It can be divided in two parts, 9012 and 14208, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 901214208 in words is "nine hundred one million, two hundred fourteen thousand, two hundred eight".