39905970 has 96 divisors (see below), whose sum is σ = 110045952. Its totient is φ = 9225216.

The previous prime is 39905939. The next prime is 39905977. The reversal of 39905970 is 7950993.

39905970 = T₃₆ + T₃₇ + ... + T₆₂₀.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39905977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85959 + ... + 86421.

It is an arithmetic number, because the mean of its divisors is an integer number (1146312).

Almost surely, 2^39905970 is an apocalyptic number.

39905970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39905970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55022976).

39905970 is an abundant number, since it is smaller than the sum of its proper divisors (70139982).

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

39905970 is a wasteful number, since it uses less digits than its factorization.

39905970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 76545, while the sum is 42.

The square root of 39905970 is about 6317.1172222779. The cubic root of 39905970 is about 341.7269973442.

The spelling of 39905970 in words is "thirty-nine million, nine hundred five thousand, nine hundred seventy".