32605896960 has 864 divisors, whose sum is σ = 146243784960. Its totient is φ = 6513426432.

The previous prime is 32605896943. The next prime is 32605897003. The reversal of 32605896960 is 6969850623.

It is a super-2 number, since 2×32605896960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32605896897 and 32605896906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19917262 + ... + 19918898.

It is an arithmetic number, because the mean of its divisors is an integer number (169263640).

Almost surely, 2^32605896960 is an apocalyptic number.

32605896960 is a gapful number since it is divisible by the number (30) 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 32605896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73121892480).

32605896960 is an abundant number, since it is smaller than the sum of its proper divisors (113637888000).

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

32605896960 is a wasteful number, since it uses less digits than its factorization.

32605896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 32605896960 in words is "thirty-two billion, six hundred five million, eight hundred ninety-six thousand, nine hundred sixty".