901674816 has 224 divisors, whose sum is σ = 2826593280. Its totient is φ = 248377344.

The previous prime is 901674803. The next prime is 901674821. The reversal of 901674816 is 618476109.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6581500 + ... + 6581636.

It is an arithmetic number, because the mean of its divisors is an integer number (12618720).

Almost surely, 2^901674816 is an apocalyptic number.

901674816 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 901674816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413296640).

901674816 is an abundant number, since it is smaller than the sum of its proper divisors (1924918464).

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

901674816 is a wasteful number, since it uses less digits than its factorization.

901674816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 901674816 is about 30027.9006259179. The cubic root of 901674816 is about 966.0879087040.

The spelling of 901674816 in words is "nine hundred one million, six hundred seventy-four thousand, eight hundred sixteen".