39061920 has 96 divisors (see below), whose sum is σ = 130310208. Its totient is φ = 9801728.

The previous prime is 39061907. The next prime is 39061943. The reversal of 39061920 is 2916093.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5767 + ... + 10553.

It is an arithmetic number, because the mean of its divisors is an integer number (1357398).

Almost surely, 2^39061920 is an apocalyptic number.

39061920 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 39061920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65155104).

39061920 is an abundant number, since it is smaller than the sum of its proper divisors (91248288).

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

39061920 is a wasteful number, since it uses less digits than its factorization.

39061920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 39061920 is about 6249.9535998278. The cubic root of 39061920 is about 339.3005227464.

The spelling of 39061920 in words is "thirty-nine million, sixty-one thousand, nine hundred twenty".