54151680 has 160 divisors (see below), whose sum is σ = 189148608. Its totient is φ = 13107200.

The previous prime is 54151667. The next prime is 54151709. The reversal of 54151680 is 8615145.

It is a tau number, because it is divible by the number of its divisors (160).

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

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, 84160 + ... + 84800.

Almost surely, 2^54151680 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 54151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94574304).

54151680 is an abundant number, since it is smaller than the sum of its proper divisors (134996928).

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

54151680 is a wasteful number, since it uses less digits than its factorization.

54151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 54151680 is about 7358.7825079968. The cubic root of 54151680 is about 378.3298819551.

The spelling of 54151680 in words is "fifty-four million, one hundred fifty-one thousand, six hundred eighty".