53769024 has 84 divisors (see below), whose sum is σ = 155134564. Its totient is φ = 17805312.

The previous prime is 53769017. The next prime is 53769077. The reversal of 53769024 is 42096735.

It can be written as a sum of positive squares in 2 ways, for example, as 11778624 + 41990400 = 3432^2 + 6480^2 .

It is a super-2 number, since 2×53769024² = 5782215883825152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 53769024.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 159384 + ... + 159720.

Almost surely, 2^53769024 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 53769024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77567282).

53769024 is an abundant number, since it is smaller than the sum of its proper divisors (101365540).

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

53769024 is a wasteful number, since it uses less digits than its factorization.

53769024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 53769024 is about 7332.7364605582. The cubic root of 53769024 is about 377.4366345407.

It can be divided in two parts, 5376 and 9024, that added together give a square (14400 = 120²).

The spelling of 53769024 in words is "fifty-three million, seven hundred sixty-nine thousand, twenty-four".