39820896 has 96 divisors (see below), whose sum is σ = 117784800. Its totient is φ = 13250304.

The previous prime is 39820883. The next prime is 39820927. The reversal of 39820896 is 69802893.

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

It is a super-3 number, since 3×39820896³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

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, 69700 + ... + 70268.

It is an arithmetic number, because the mean of its divisors is an integer number (1226925).

Almost surely, 2^39820896 is an apocalyptic number.

39820896 is a gapful number since it is divisible by the number (36) 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 39820896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58892400).

39820896 is an abundant number, since it is smaller than the sum of its proper divisors (77963904).

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

39820896 is an frugal number, since it uses more digits than its factorization.

39820896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 39820896 is about 6310.3800202523. The cubic root of 39820896 is about 341.4839863671.

The spelling of 39820896 in words is "thirty-nine million, eight hundred twenty thousand, eight hundred ninety-six".