612633240 has 128 divisors (see below), whose sum is σ = 2047680000. Its totient is φ = 162923904.

The previous prime is 612633239. The next prime is 612633247. The reversal of 612633240 is 42336216.

612633240 is a `hidden beast` number, since 6 + 1 + 2 + 633 + 24 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612633247) 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, 646447 + ... + 647393.

It is an arithmetic number, because the mean of its divisors is an integer number (15997500).

Almost surely, 2^612633240 is an apocalyptic number.

612633240 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 612633240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023840000).

612633240 is an abundant number, since it is smaller than the sum of its proper divisors (1435046760).

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

612633240 is a wasteful number, since it uses less digits than its factorization.

612633240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 612633240 is about 24751.4290496529. The cubic root of 612633240 is about 849.3112020753.

Adding to 612633240 its reverse (42336216), we get a palindrome (654969456).

The spelling of 612633240 in words is "six hundred twelve million, six hundred thirty-three thousand, two hundred forty".