39689040 has 80 divisors (see below), whose sum is σ = 125099136. Its totient is φ = 10406400.

The previous prime is 39689029. The next prime is 39689063. The reversal of 39689040 is 4098693.

39689040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×39689040² = 3150439792243200, 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 39689040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13285 + ... + 15995.

Almost surely, 2^39689040 is an apocalyptic number.

39689040 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 39689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62549568).

39689040 is an abundant number, since it is smaller than the sum of its proper divisors (85410096).

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

39689040 is a wasteful number, since it uses less digits than its factorization.

39689040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 39689040 is about 6299.9238090631. The cubic root of 39689040 is about 341.1066593308.

The spelling of 39689040 in words is "thirty-nine million, six hundred eighty-nine thousand, forty".