54962960 has 80 divisors (see below), whose sum is σ = 141084720. Its totient is φ = 19783680.

The previous prime is 54962951. The next prime is 54962993. The reversal of 54962960 is 6926945.

It can be written as a sum of positive squares in 8 ways, for example, as 7573504 + 47389456 = 2752^2 + 6884^2 .

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 (41).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 41996 + ... + 43284.

It is an arithmetic number, because the mean of its divisors is an integer number (1763559).

Almost surely, 2^54962960 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 54962960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70542360).

54962960 is an abundant number, since it is smaller than the sum of its proper divisors (86121760).

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

54962960 is a wasteful number, since it uses less digits than its factorization.

54962960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 54962960 is about 7413.7008302197. The cubic root of 54962960 is about 380.2098563839.

The spelling of 54962960 in words is "fifty-four million, nine hundred sixty-two thousand, nine hundred sixty".