39968880 has 160 divisors (see below), whose sum is σ = 145657344. Its totient is φ = 8875008.

The previous prime is 39968879. The next prime is 39968881. The reversal of 39968880 is 8886993.

39968880 = T₄₂₁ + T₄₂₂ + ... + T₆₇₉.

It is an interprime number because it is at equal distance from previous prime (39968879) and next prime (39968881).

It is a super-2 number, since 2×39968880² = 3195022736908800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39968881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61839 + ... + 62481.

Almost surely, 2^39968880 is an apocalyptic number.

39968880 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 39968880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72828672).

39968880 is an abundant number, since it is smaller than the sum of its proper divisors (105688464).

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

39968880 is a wasteful number, since it uses less digits than its factorization.

39968880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 39968880 is about 6322.0945896119. The cubic root of 39968880 is about 341.9064755725.

The spelling of 39968880 in words is "thirty-nine million, nine hundred sixty-eight thousand, eight hundred eighty".