901931940 has 576 divisors, whose sum is σ = 3698472960. Its totient is φ = 172523520.

The previous prime is 901931917. The next prime is 901931951. The reversal of 901931940 is 49139109.

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

It is a junction number, because it is equal to n+sod(n) for n = 901931895 and 901931904.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11416821 + ... + 11416899.

It is an arithmetic number, because the mean of its divisors is an integer number (6420960).

Almost surely, 2^901931940 is an apocalyptic number.

901931940 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 901931940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849236480).

901931940 is an abundant number, since it is smaller than the sum of its proper divisors (2796541020).

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

901931940 is a wasteful number, since it uses less digits than its factorization.

901931940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 901931940 is about 30032.1817389280. The cubic root of 901931940 is about 966.1797307130.

The spelling of 901931940 in words is "nine hundred one million, nine hundred thirty-one thousand, nine hundred forty".