612010080 has 432 divisors, whose sum is σ = 2410493904. Its totient is φ = 145566720.

The previous prime is 612010067. The next prime is 612010103. The reversal of 612010080 is 80010216.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11547334 + ... + 11547386.

It is an arithmetic number, because the mean of its divisors is an integer number (5579847).

Almost surely, 2^612010080 is an apocalyptic number.

612010080 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 612010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205246952).

612010080 is an abundant number, since it is smaller than the sum of its proper divisors (1798483824).

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

612010080 is an equidigital number, since it uses as much as digits as its factorization.

612010080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 612010080 is about 24738.8374827921. The cubic root of 612010080 is about 849.0231361299.

Adding to 612010080 its reverse (80010216), we get a palindrome (692020296).

The spelling of 612010080 in words is "six hundred twelve million, ten thousand, eighty".