901658340 has 144 divisors (see below), whose sum is σ = 3047466240. Its totient is φ = 213911040.

The previous prime is 901658311. The next prime is 901658341. The reversal of 901658340 is 43856109.

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 = 901658295 and 901658304.

It is not an unprimeable number, because it can be changed into a prime (901658341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88216 + ... + 97904.

It is an arithmetic number, because the mean of its divisors is an integer number (21162960).

Almost surely, 2^901658340 is an apocalyptic number.

901658340 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 901658340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523733120).

901658340 is an abundant number, since it is smaller than the sum of its proper divisors (2145807900).

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

901658340 is a wasteful number, since it uses less digits than its factorization.

901658340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9762 (or 9757 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 901658340 is about 30027.6262798111. The cubic root of 901658340 is about 966.0820243352.

The spelling of 901658340 in words is "nine hundred one million, six hundred fifty-eight thousand, three hundred forty".