901051680 has 192 divisors, whose sum is σ = 3136589568. Its totient is φ = 216268800.

The previous prime is 901051637. The next prime is 901051691. The reversal of 901051680 is 86150109.

It is a happy number.

901051680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185280 + ... + 190080.

It is an arithmetic number, because the mean of its divisors is an integer number (16336404).

Almost surely, 2^901051680 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 901051680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568294784).

901051680 is an abundant number, since it is smaller than the sum of its proper divisors (2235537888).

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

901051680 is a wasteful number, since it uses less digits than its factorization.

901051680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4859 (or 4851 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 901051680 is about 30017.5228824765. The cubic root of 901051680 is about 965.8653070606.

The spelling of 901051680 in words is "nine hundred one million, fifty-one thousand, six hundred eighty".