838896960 has 224 divisors, whose sum is σ = 3077212032. Its totient is φ = 191365120.

The previous prime is 838896907. The next prime is 838896973. The reversal of 838896960 is 69698838.

It is a self number, because there is not a number n which added to its sum of digits gives 838896960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177184 + ... + 181856.

Almost surely, 2^838896960 is an apocalyptic number.

838896960 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 838896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538606016).

838896960 is an abundant number, since it is smaller than the sum of its proper divisors (2238315072).

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

838896960 is a wasteful number, since it uses less digits than its factorization.

838896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4721 (or 4711 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The square root of 838896960 is about 28963.7179933792. The cubic root of 838896960 is about 943.1256147450.

It can be divided in two parts, 838 and 896960, that added together give a palindrome (897798).

The spelling of 838896960 in words is "eight hundred thirty-eight million, eight hundred ninety-six thousand, nine hundred sixty".