54953040 has 80 divisors (see below), whose sum is σ = 171078336. Its totient is φ = 14592000.

The previous prime is 54953039. The next prime is 54953053. The reversal of 54953040 is 4035945.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54952989 and 54953007.

It is a congruent number.

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, 95955 + ... + 96525.

Almost surely, 2^54953040 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 54953040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85539168).

54953040 is an abundant number, since it is smaller than the sum of its proper divisors (116125296).

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

54953040 is a wasteful number, since it uses less digits than its factorization.

54953040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 54953040 is about 7413.0317684467. The cubic root of 54953040 is about 380.1869809255.

Adding to 54953040 its reverse (4035945), we get a palindrome (58988985).

The spelling of 54953040 in words is "fifty-four million, nine hundred fifty-three thousand, forty".