901113824 has 48 divisors (see below), whose sum is σ = 1937507040. Its totient is φ = 410027520.

The previous prime is 901113823. The next prime is 901113847. The reversal of 901113824 is 428311109.

It is a super-2 number, since 2×901113824² = 1624012247607805952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901113823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14282 + ... + 44790.

It is an arithmetic number, because the mean of its divisors is an integer number (40364730).

Almost surely, 2^901113824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901113824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968753520).

901113824 is an abundant number, since it is smaller than the sum of its proper divisors (1036393216).

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

901113824 is a wasteful number, since it uses less digits than its factorization.

901113824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30603 (or 30595 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 901113824 is about 30018.5579933480. The cubic root of 901113824 is about 965.8875112453.

The spelling of 901113824 in words is "nine hundred one million, one hundred thirteen thousand, eight hundred twenty-four".