60819120 has 160 divisors (see below), whose sum is σ = 215432640. Its totient is φ = 15759360.

The previous prime is 60819089. The next prime is 60819127. The reversal of 60819120 is 2191806.

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 (60819127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79540 + ... + 80300.

It is an arithmetic number, because the mean of its divisors is an integer number (1346454).

Almost surely, 2^60819120 is an apocalyptic number.

60819120 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 60819120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107716320).

60819120 is an abundant number, since it is smaller than the sum of its proper divisors (154613520).

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

60819120 is a wasteful number, since it uses less digits than its factorization.

60819120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 60819120 is about 7798.6614236034. The cubic root of 60819120 is about 393.2602436889.

The spelling of 60819120 in words is "sixty million, eight hundred nineteen thousand, one hundred twenty".