612096240 has 480 divisors, whose sum is σ = 2410131456. Its totient is φ = 127733760.

The previous prime is 612096239. The next prime is 612096241. The reversal of 612096240 is 42690216.

It is an interprime number because it is at equal distance from previous prime (612096239) and next prime (612096241).

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 = 612096198 and 612096207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612096241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8384844 + ... + 8384916.

Almost surely, 2^612096240 is an apocalyptic number.

612096240 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 612096240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205065728).

612096240 is an abundant number, since it is smaller than the sum of its proper divisors (1798035216).

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

612096240 is a wasteful number, since it uses less digits than its factorization.

612096240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 612096240 is about 24740.5788129542. The cubic root of 612096240 is about 849.0629766506.

The spelling of 612096240 in words is "six hundred twelve million, ninety-six thousand, two hundred forty".