40697920 has 56 divisors (see below), whose sum is σ = 98069400. Its totient is φ = 16084992.

The previous prime is 40697897. The next prime is 40697927. The reversal of 40697920 is 2979604.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 40246336 = 672^2 + 6344^2 .

It is a super-3 number, since 3×40697920³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40697920.

It is not an unprimeable number, because it can be changed into a prime (40697927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27766 + ... + 29194.

Almost surely, 2^40697920 is an apocalyptic number.

40697920 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 40697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49034700).

40697920 is an abundant number, since it is smaller than the sum of its proper divisors (57371480).

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

40697920 is a wasteful number, since it uses less digits than its factorization.

40697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 40697920 is about 6379.4921427963. The cubic root of 40697920 is about 343.9727759238.

The spelling of 40697920 in words is "forty million, six hundred ninety-seven thousand, nine hundred twenty".