39957948 has 84 divisors (see below), whose sum is σ = 106869168. Its totient is φ = 13063680.

The previous prime is 39957947. The next prime is 39957961. The reversal of 39957948 is 84975993.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 39957894 and 39957903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39957947) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 206940 + ... + 207132.

It is an arithmetic number, because the mean of its divisors is an integer number (1272252).

Almost surely, 2^39957948 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 39957948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434584).

39957948 is an abundant number, since it is smaller than the sum of its proper divisors (66911220).

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

39957948 is a wasteful number, since it uses less digits than its factorization.

39957948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 269 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 39957948 is about 6321.2299436107. The cubic root of 39957948 is about 341.8753007984.

The spelling of 39957948 in words is "thirty-nine million, nine hundred fifty-seven thousand, nine hundred forty-eight".