612627840 has 384 divisors, whose sum is σ = 2393042400. Its totient is φ = 148008960.

The previous prime is 612627817. The next prime is 612627889. The reversal of 612627840 is 48726216.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 612627795 and 612627804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2090734 + ... + 2091026.

Almost surely, 2^612627840 is an apocalyptic number.

612627840 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 612627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196521200).

612627840 is an abundant number, since it is smaller than the sum of its proper divisors (1780414560).

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

612627840 is a wasteful number, since it uses less digits than its factorization.

612627840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 612627840 is about 24751.3199648019. The cubic root of 612627840 is about 849.3087066758.

The spelling of 612627840 in words is "six hundred twelve million, six hundred twenty-seven thousand, eight hundred forty".