54767880 has 256 divisors, whose sum is σ = 204768000. Its totient is φ = 12939264.

The previous prime is 54767873. The next prime is 54767887. The reversal of 54767880 is 8876745.

It is an interprime number because it is at equal distance from previous prime (54767873) and next prime (54767887).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (54767887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348762 + ... + 348918.

It is an arithmetic number, because the mean of its divisors is an integer number (799875).

Almost surely, 2^54767880 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 54767880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102384000).

54767880 is an abundant number, since it is smaller than the sum of its proper divisors (150000120).

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

54767880 is a wasteful number, since it uses less digits than its factorization.

54767880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 54767880 is about 7400.5324132795. The cubic root of 54767880 is about 379.7594969399.

The spelling of 54767880 in words is "fifty-four million, seven hundred sixty-seven thousand, eight hundred eighty".