39676960 has 96 divisors (see below), whose sum is σ = 98461440. Its totient is φ = 15095808.

The previous prime is 39676951. The next prime is 39676999. The reversal of 39676960 is 6967693.

It is a super-2 number, since 2×39676960² = 3148522309683200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 39676960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502201 + ... + 502279.

It is an arithmetic number, because the mean of its divisors is an integer number (1025640).

Almost surely, 2^39676960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39676960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49230720).

39676960 is an abundant number, since it is smaller than the sum of its proper divisors (58784480).

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

39676960 is a wasteful number, since it uses less digits than its factorization.

39676960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 46.

The square root of 39676960 is about 6298.9649943463. The cubic root of 39676960 is about 341.0720487131.

The spelling of 39676960 in words is "thirty-nine million, six hundred seventy-six thousand, nine hundred sixty".