32953440 has 96 divisors (see below), whose sum is σ = 111809376. Its totient is φ = 8110080.

The previous prime is 32953433. The next prime is 32953451. The reversal of 32953440 is 4435923.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32953398 and 32953407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3600 + ... + 8880.

It is an arithmetic number, because the mean of its divisors is an integer number (1164681).

Almost surely, 2^32953440 is an apocalyptic number.

32953440 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 32953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55904688).

32953440 is an abundant number, since it is smaller than the sum of its proper divisors (78855936).

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

32953440 is a wasteful number, since it uses less digits than its factorization.

32953440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 32953440 is about 5740.5086882610. The cubic root of 32953440 is about 320.6025106866.

The spelling of 32953440 in words is "thirty-two million, nine hundred fifty-three thousand, four hundred forty".