39798624 has 48 divisors (see below), whose sum is σ = 105960960. Its totient is φ = 13077120.

The previous prime is 39798623. The next prime is 39798631. The reversal of 39798624 is 42689793.

39798624 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39798623) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3897 + ... + 9735.

It is an arithmetic number, because the mean of its divisors is an integer number (2207520).

Almost surely, 2^39798624 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 39798624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52980480).

39798624 is an abundant number, since it is smaller than the sum of its proper divisors (66162336).

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

39798624 is a wasteful number, since it uses less digits than its factorization.

39798624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5915 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 39798624 is about 6308.6150619609. The cubic root of 39798624 is about 341.4203100021.

The spelling of 39798624 in words is "thirty-nine million, seven hundred ninety-eight thousand, six hundred twenty-four".