53769240 has 192 divisors, whose sum is σ = 210412800. Its totient is φ = 11632896.

The previous prime is 53769229. The next prime is 53769241. The reversal of 53769240 is 4296735.

It is a super-2 number, since 2×53769240² = 5782262340355200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 53769195 and 53769204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53769241) by changing a digit.

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, 47319 + ... + 48441.

It is an arithmetic number, because the mean of its divisors is an integer number (1095900).

Almost surely, 2^53769240 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 53769240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105206400).

53769240 is an abundant number, since it is smaller than the sum of its proper divisors (156643560).

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

53769240 is a wasteful number, since it uses less digits than its factorization.

53769240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1159 counting only the distinct ones).

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

The square root of 53769240 is about 7332.7511890149. The cubic root of 53769240 is about 377.4371399507.

The spelling of 53769240 in words is "fifty-three million, seven hundred sixty-nine thousand, two hundred forty".