54513680 has 160 divisors (see below), whose sum is σ = 148490496. Its totient is φ = 18450432.

The previous prime is 54513671. The next prime is 54513689. The reversal of 54513680 is 8631545.

54513680 = T₁ + T₂ + ... + T₆₈₈.

It is a happy number.

54513680 is a nontrivial binomial coefficient, being equal to C(690, 3).

It is an interprime number because it is at equal distance from previous prime (54513671) and next prime (54513689).

It is not an unprimeable number, because it can be changed into a prime (54513689) by changing a digit.

It is the 688-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028534 + ... + 1028586.

Almost surely, 2^54513680 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 54513680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248).

54513680 is an abundant number, since it is smaller than the sum of its proper divisors (93976816).

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

54513680 is a wasteful number, since it uses less digits than its factorization.

54513680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 54513680 is about 7383.3379984936. The cubic root of 54513680 is about 379.1710461730.

The spelling of 54513680 in words is "fifty-four million, five hundred thirteen thousand, six hundred eighty".