40689320 has 64 divisors (see below), whose sum is σ = 108259200. Its totient is φ = 13466880.

The previous prime is 40689293. The next prime is 40689353. The reversal of 40689320 is 2398604.

40689320 = T₁₆ + T₁₇ + ... + T₆₂₄.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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, 5615 + ... + 10625.

It is an arithmetic number, because the mean of its divisors is an integer number (1691550).

Almost surely, 2^40689320 is an apocalyptic number.

40689320 is a gapful number since it is divisible by the number (40) 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 40689320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54129600).

40689320 is an abundant number, since it is smaller than the sum of its proper divisors (67569880).

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

40689320 is a wasteful number, since it uses less digits than its factorization.

40689320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 40689320 is about 6378.8180723391. The cubic root of 40689320 is about 343.9485455760.

The spelling of 40689320 in words is "forty million, six hundred eighty-nine thousand, three hundred twenty".