53676480 has 448 divisors, whose sum is σ = 221211648. Its totient is φ = 10813440.

The previous prime is 53676473. The next prime is 53676487. The reversal of 53676480 is 8467635.

It is an interprime number because it is at equal distance from previous prime (53676473) and next prime (53676487).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53676487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2333749 + ... + 2333771.

It is an arithmetic number, because the mean of its divisors is an integer number (493776).

Almost surely, 2^53676480 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 53676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110605824).

53676480 is an abundant number, since it is smaller than the sum of its proper divisors (167535168).

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

53676480 is a wasteful number, since it uses less digits than its factorization.

53676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 53676480 is about 7326.4234111878. The cubic root of 53676480 is about 377.2199698020.

The spelling of 53676480 in words is "fifty-three million, six hundred seventy-six thousand, four hundred eighty".