60808320 has 384 divisors, whose sum is σ = 240589440. Its totient is φ = 14598144.

The previous prime is 60808313. The next prime is 60808327. The reversal of 60808320 is 2380806.

It is an interprime number because it is at equal distance from previous prime (60808313) and next prime (60808327).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (60808327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2643829 + ... + 2643851.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 2^60808320 is an apocalyptic number.

60808320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

60808320 is an abundant number, since it is smaller than the sum of its proper divisors (179781120).

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

60808320 is a wasteful number, since it uses less digits than its factorization.

60808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 60808320 is about 7797.9689663399. The cubic root of 60808320 is about 393.2369644851.

It can be divided in two parts, 6080 and 8320, that added together give a square (14400 = 120²).

The spelling of 60808320 in words is "sixty million, eight hundred eight thousand, three hundred twenty".