901895040 has 512 divisors, whose sum is σ = 3495744000. Its totient is φ = 218972160.

The previous prime is 901895009. The next prime is 901895053. The reversal of 901895040 is 40598109.

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 = 901894986 and 901895004.

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, 13461087 + ... + 13461153.

It is an arithmetic number, because the mean of its divisors is an integer number (6827625).

Almost surely, 2^901895040 is an apocalyptic number.

901895040 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 901895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747872000).

901895040 is an abundant number, since it is smaller than the sum of its proper divisors (2593848960).

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

901895040 is a wasteful number, since it uses less digits than its factorization.

901895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 901895040 is about 30031.5673916631. The cubic root of 901895040 is about 966.1665543610.

The spelling of 901895040 in words is "nine hundred one million, eight hundred ninety-five thousand, forty".