612544800 has 432 divisors, whose sum is σ = 2428719552. Its totient is φ = 131328000.

The previous prime is 612544787. The next prime is 612544813. The reversal of 612544800 is 8445216.

It is an interprime number because it is at equal distance from previous prime (612544787) and next prime (612544813).

It is a super-2 number, since 2×612544800² = 750422264014080000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6064750 + ... + 6064850.

It is an arithmetic number, because the mean of its divisors is an integer number (5622036).

Almost surely, 2^612544800 is an apocalyptic number.

612544800 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 612544800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214359776).

612544800 is an abundant number, since it is smaller than the sum of its proper divisors (1816174752).

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

612544800 is a wasteful number, since it uses less digits than its factorization.

612544800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

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

The square root of 612544800 is about 24749.6424216593. The cubic root of 612544800 is about 849.2703311308.

The spelling of 612544800 in words is "six hundred twelve million, five hundred forty-four thousand, eight hundred".