53958320 has 80 divisors (see below), whose sum is σ = 136345440. Its totient is φ = 19858176.

The previous prime is 53958283. The next prime is 53958353. The reversal of 53958320 is 2385935.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175607 + ... + 175913.

It is an arithmetic number, because the mean of its divisors is an integer number (1704318).

Almost surely, 2^53958320 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 53958320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68172720).

53958320 is an abundant number, since it is smaller than the sum of its proper divisors (82387120).

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

53958320 is a wasteful number, since it uses less digits than its factorization.

53958320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 53958320 is about 7345.6327161110. The cubic root of 53958320 is about 377.8790426980.

The spelling of 53958320 in words is "fifty-three million, nine hundred fifty-eight thousand, three hundred twenty".