53954880 has 336 divisors, whose sum is σ = 211262976. Its totient is φ = 11612160.

The previous prime is 53954863. The next prime is 53954903. The reversal of 53954880 is 8845935.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×53954880² = 5822258151628800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 1458222 + ... + 1458258.

Almost surely, 2^53954880 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 53954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105631488).

53954880 is an abundant number, since it is smaller than the sum of its proper divisors (157308096).

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

53954880 is a wasteful number, since it uses less digits than its factorization.

53954880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 53954880 is about 7345.3985596426. The cubic root of 53954880 is about 377.8710122310.

The spelling of 53954880 in words is "fifty-three million, nine hundred fifty-four thousand, eight hundred eighty".