40653824 has 66 divisors (see below), whose sum is σ = 86403870. Its totient is φ = 19095552.

The previous prime is 40653797. The next prime is 40653827. The reversal of 40653824 is 42835604.

It can be written as a sum of positive squares in 3 ways, for example, as 23348224 + 17305600 = 4832^2 + 4160^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40653827) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1098734 + ... + 1098770.

Almost surely, 2^40653824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40653824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43201935).

40653824 is an abundant number, since it is smaller than the sum of its proper divisors (45750046).

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

40653824 is an equidigital number, since it uses as much as digits as its factorization.

40653824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 40653824 is about 6376.0351316473. The cubic root of 40653824 is about 343.8485000811.

The spelling of 40653824 in words is "forty million, six hundred fifty-three thousand, eight hundred twenty-four".