32768676 has 54 divisors (see below), whose sum is σ = 85425522. Its totient is φ = 10584960.

The previous prime is 32768663. The next prime is 32768683. The reversal of 32768676 is 67686723.

It can be written as a sum of positive squares in 3 ways, for example, as 3348900 + 29419776 = 1830^2 + 5424^2 .

It is a super-2 number, since 2×32768676² = 2147572253585952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 219850 + ... + 219998.

Almost surely, 2^32768676 is an apocalyptic number.

32768676 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 32768676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42712761).

32768676 is an abundant number, since it is smaller than the sum of its proper divisors (52656846).

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

32768676 is a wasteful number, since it uses less digits than its factorization.

32768676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 195 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 32768676 is about 5724.3930682650. The cubic root of 32768676 is about 320.0022005057.

The spelling of 32768676 in words is "thirty-two million, seven hundred sixty-eight thousand, six hundred seventy-six".