612824940 has 240 divisors, whose sum is σ = 2366667072. Its totient is φ = 129268224.

The previous prime is 612824899. The next prime is 612824941. The reversal of 612824940 is 49428216.

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 = 612824895 and 612824904.

It is not an unprimeable number, because it can be changed into a prime (612824941) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 145342 + ... + 149498.

Almost surely, 2^612824940 is an apocalyptic number.

612824940 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 612824940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183333536).

612824940 is an abundant number, since it is smaller than the sum of its proper divisors (1753842132).

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

612824940 is a wasteful number, since it uses less digits than its factorization.

612824940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 612824940 is about 24755.3012504393. The cubic root of 612824940 is about 849.3997792575.

The spelling of 612824940 in words is "six hundred twelve million, eight hundred twenty-four thousand, nine hundred forty".