53623440 has 240 divisors, whose sum is σ = 205955568. Its totient is φ = 12386304.

The previous prime is 53623433. The next prime is 53623463. The reversal of 53623440 is 4432635.

It can be written as a sum of positive squares in 8 ways, for example, as 2985984 + 50637456 = 1728^2 + 7116^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 158952 + ... + 159288.

Almost surely, 2^53623440 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 53623440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102977784).

53623440 is an abundant number, since it is smaller than the sum of its proper divisors (152332128).

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

53623440 is a wasteful number, since it uses less digits than its factorization.

53623440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 53623440 is about 7322.8027421200. The cubic root of 53623440 is about 377.0956798524.

The spelling of 53623440 in words is "fifty-three million, six hundred twenty-three thousand, four hundred forty".