39679640 has 128 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 11404800.

The previous prime is 39679639. The next prime is 39679643. The reversal of 39679640 is 4697693.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 39679591 and 39679600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39679643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39545 + ... + 40535.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^39679640 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 39679640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

39679640 is an abundant number, since it is smaller than the sum of its proper divisors (80312680).

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

39679640 is a wasteful number, since it uses less digits than its factorization.

39679640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 44.

The square root of 39679640 is about 6299.1777241161. The cubic root of 39679640 is about 341.0797278339.

The spelling of 39679640 in words is "thirty-nine million, six hundred seventy-nine thousand, six hundred forty".