53677440 has 96 divisors (see below), whose sum is σ = 185374800. Its totient is φ = 14312448.

The previous prime is 53677427. The next prime is 53677441. The reversal of 53677440 is 4477635.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 53677395 and 53677404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53677441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1101 + ... + 10419.

Almost surely, 2^53677440 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 53677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92687400).

53677440 is an abundant number, since it is smaller than the sum of its proper divisors (131697360).

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

53677440 is a wasteful number, since it uses less digits than its factorization.

53677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9344 (or 9329 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 53677440 is about 7326.4889271738. The cubic root of 53677440 is about 377.2222186393. Note that the first 4 decimals are identical.

The spelling of 53677440 in words is "fifty-three million, six hundred seventy-seven thousand, four hundred forty".