54695120 has 80 divisors (see below), whose sum is σ = 136116288. Its totient is φ = 20367360.

The previous prime is 54695093. The next prime is 54695141. The reversal of 54695120 is 2159645.

It is a happy number.

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

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, 178007 + ... + 178313.

Almost surely, 2^54695120 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 54695120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68058144).

54695120 is an abundant number, since it is smaller than the sum of its proper divisors (81421168).

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

54695120 is a wasteful number, since it uses less digits than its factorization.

54695120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 54695120 is about 7395.6149169626. The cubic root of 54695120 is about 379.5912502337.

The spelling of 54695120 in words is "fifty-four million, six hundred ninety-five thousand, one hundred twenty".