901393920 has 640 divisors, whose sum is σ = 3865466880. Its totient is φ = 197074944.

The previous prime is 901393901. The next prime is 901393931. The reversal of 901393920 is 29393109.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×901393920³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 39191029 + ... + 39191051.

It is an arithmetic number, because the mean of its divisors is an integer number (6039792).

Almost surely, 2^901393920 is an apocalyptic number.

901393920 is a gapful number since it is divisible by the number (90) 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 901393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932733440).

901393920 is an abundant number, since it is smaller than the sum of its proper divisors (2964072960).

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

901393920 is an frugal number, since it uses more digits than its factorization.

901393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 901393920 is about 30023.2230115289. The cubic root of 901393920 is about 965.9875774800.

The spelling of 901393920 in words is "nine hundred one million, three hundred ninety-three thousand, nine hundred twenty".