612408720 has 320 divisors, whose sum is σ = 2445557760. Its totient is φ = 123033600.

The previous prime is 612408701. The next prime is 612408739. The reversal of 612408720 is 27804216.

It is an interprime number because it is at equal distance from previous prime (612408701) and next prime (612408739).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 572346 + ... + 573414.

It is an arithmetic number, because the mean of its divisors is an integer number (7642368).

Almost surely, 2^612408720 is an apocalyptic number.

612408720 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 612408720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222778880).

612408720 is an abundant number, since it is smaller than the sum of its proper divisors (1833149040).

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

612408720 is a wasteful number, since it uses less digits than its factorization.

612408720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 612408720 is about 24746.8931383315. The cubic root of 612408720 is about 849.2074365388.

The spelling of 612408720 in words is "six hundred twelve million, four hundred eight thousand, seven hundred twenty".