612258240 has 224 divisors, whose sum is σ = 2179344384. Its totient is φ = 144322560.

The previous prime is 612258221. The next prime is 612258253. The reversal of 612258240 is 42852216.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 612258198 and 612258207.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 389937 + ... + 391503.

It is an arithmetic number, because the mean of its divisors is an integer number (9729216).

Almost surely, 2^612258240 is an apocalyptic number.

612258240 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 612258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089672192).

612258240 is an abundant number, since it is smaller than the sum of its proper divisors (1567086144).

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

612258240 is a wasteful number, since it uses less digits than its factorization.

612258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 612258240 is about 24743.8525698809. The cubic root of 612258240 is about 849.1378755855.

It can be divided in two parts, 612 and 258240, that added together give a palindrome (258852).

The spelling of 612258240 in words is "six hundred twelve million, two hundred fifty-eight thousand, two hundred forty".