54467760 has 80 divisors (see below), whose sum is σ = 170274816. Its totient is φ = 14402304.

The previous prime is 54467759. The next prime is 54467761. The reversal of 54467760 is 6776445.

It is an interprime number because it is at equal distance from previous prime (54467759) and next prime (54467761).

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

It is not an unprimeable number, because it can be changed into a prime (54467761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29587 + ... + 31373.

Almost surely, 2^54467760 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 54467760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85137408).

54467760 is an abundant number, since it is smaller than the sum of its proper divisors (115807056).

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

54467760 is a wasteful number, since it uses less digits than its factorization.

54467760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 54467760 is about 7380.2276387656. The cubic root of 54467760 is about 379.0645504235.

The spelling of 54467760 in words is "fifty-four million, four hundred sixty-seven thousand, seven hundred sixty".