32403840 has 128 divisors (see below), whose sum is σ = 118091520. Its totient is φ = 7403520.

The previous prime is 32403827. The next prime is 32403841. The reversal of 32403840 is 4830423.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 32403840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32403841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12235 + ... + 14645.

It is an arithmetic number, because the mean of its divisors is an integer number (922590).

Almost surely, 2^32403840 is an apocalyptic number.

32403840 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 32403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59045760).

32403840 is an abundant number, since it is smaller than the sum of its proper divisors (85687680).

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

32403840 is a wasteful number, since it uses less digits than its factorization.

32403840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 32403840 is about 5692.4370879264. The cubic root of 32403840 is about 318.8101647292.

The spelling of 32403840 in words is "thirty-two million, four hundred three thousand, eight hundred forty".