393106896 has 240 divisors, whose sum is σ = 1370328960. Its totient is φ = 102435840.

The previous prime is 393106891. The next prime is 393106921. The reversal of 393106896 is 698601393.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393106891) 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, 1716510 + ... + 1716738.

It is an arithmetic number, because the mean of its divisors is an integer number (5709704).

Almost surely, 2^393106896 is an apocalyptic number.

393106896 is a gapful number since it is divisible by the number (36) 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 393106896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685164480).

393106896 is an abundant number, since it is smaller than the sum of its proper divisors (977222064).

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

393106896 is a wasteful number, since it uses less digits than its factorization.

393106896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 393106896 is about 19826.9235132433. The cubic root of 393106896 is about 732.5493502300.

The spelling of 393106896 in words is "three hundred ninety-three million, one hundred six thousand, eight hundred ninety-six".