612620100 has 108 divisors (see below), whose sum is σ = 1972228804. Its totient is φ = 158941440.

The previous prime is 612620051. The next prime is 612620101. The reversal of 612620100 is 1026216.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 61685316 + 550934784 = 7854^2 + 23472^2 .

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

It is not an unprimeable number, because it can be changed into a prime (612620101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24102 + ... + 42498.

Almost surely, 2^612620100 is an apocalyptic number.

612620100 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 612620100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986114402).

612620100 is an abundant number, since it is smaller than the sum of its proper divisors (1359608704).

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

612620100 is a wasteful number, since it uses less digits than its factorization.

612620100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18454 (or 18444 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 612620100 is about 24751.1636090104. The cubic root of 612620100 is about 849.3051299110.

Adding to 612620100 its reverse (1026216), we get a palindrome (613646316).

The spelling of 612620100 in words is "six hundred twelve million, six hundred twenty thousand, one hundred".