901813248 has 198 divisors, whose sum is σ = 3030620346. Its totient is φ = 257531904.

The previous prime is 901813217. The next prime is 901813249. The reversal of 901813248 is 842318109.

It can be written as a sum of positive squares in only one way, i.e., 522031104 + 379782144 = 22848^2 + 19488^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901813249) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 450586 + ... + 452582.

Almost surely, 2^901813248 is an apocalyptic number.

901813248 is a gapful number since it is divisible by the number (98) 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 901813248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515310173).

901813248 is an abundant number, since it is smaller than the sum of its proper divisors (2128807098).

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

901813248 is a wasteful number, since it uses less digits than its factorization.

901813248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 901813248 is about 30030.2055937018. The cubic root of 901813248 is about 966.1373465706.

The spelling of 901813248 in words is "nine hundred one million, eight hundred thirteen thousand, two hundred forty-eight".