32797440 has 288 divisors, whose sum is σ = 127055040. Its totient is φ = 7962624.

The previous prime is 32797423. The next prime is 32797441. The reversal of 32797440 is 4479723.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32797395 and 32797404.

It is not an unprimeable number, because it can be changed into a prime (32797441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449244 + ... + 449316.

Almost surely, 2^32797440 is an apocalyptic number.

32797440 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 32797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63527520).

32797440 is an abundant number, since it is smaller than the sum of its proper divisors (94257600).

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

32797440 is a wasteful number, since it uses less digits than its factorization.

32797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 32797440 is about 5726.9049232548. The cubic root of 32797440 is about 320.0958046476.

The spelling of 32797440 in words is "thirty-two million, seven hundred ninety-seven thousand, four hundred forty".