833648640 has 192 divisors, whose sum is σ = 2910660480. Its totient is φ = 202014720.

The previous prime is 833648537. The next prime is 833648653. The reversal of 833648640 is 46846338.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 833648592 and 833648601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336687 + ... + 339153.

It is an arithmetic number, because the mean of its divisors is an integer number (15159690).

Almost surely, 2^833648640 is an apocalyptic number.

833648640 is a gapful number since it is divisible by the number (80) 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 833648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455330240).

833648640 is an abundant number, since it is smaller than the sum of its proper divisors (2077011840).

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

833648640 is a wasteful number, since it uses less digits than its factorization.

833648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 833648640 is about 28872.9742146527. The cubic root of 833648640 is about 941.1546998886.

The spelling of 833648640 in words is "eight hundred thirty-three million, six hundred forty-eight thousand, six hundred forty".