54951040 has 64 divisors (see below), whose sum is σ = 138312000. Its totient is φ = 20818944.

The previous prime is 54951023. The next prime is 54951041. The reversal of 54951040 is 4015945.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (54951041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9901 + ... + 14419.

It is an arithmetic number, because the mean of its divisors is an integer number (2161125).

Almost surely, 2^54951040 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 54951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69156000).

54951040 is an abundant number, since it is smaller than the sum of its proper divisors (83360960).

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

54951040 is a wasteful number, since it uses less digits than its factorization.

54951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4557 (or 4545 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 54951040 is about 7412.8968696455. The cubic root of 54951040 is about 380.1823686045.

Adding to 54951040 its reverse (4015945), we get a palindrome (58966985).

The spelling of 54951040 in words is "fifty-four million, nine hundred fifty-one thousand, forty".