901688940 has 144 divisors (see below), whose sum is σ = 2838291456. Its totient is φ = 231465600.

The previous prime is 901688911. The next prime is 901688981. The reversal of 901688940 is 49886109.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1578855 + ... + 1579425.

Almost surely, 2^901688940 is an apocalyptic number.

901688940 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 901688940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419145728).

901688940 is an abundant number, since it is smaller than the sum of its proper divisors (1936602516).

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

901688940 is a wasteful number, since it uses less digits than its factorization.

901688940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 901688940 is about 30028.1358062734. The cubic root of 901688940 is about 966.0929530038.

The spelling of 901688940 in words is "nine hundred one million, six hundred eighty-eight thousand, nine hundred forty".