1618667820 has 288 divisors, whose sum is σ = 6327820800. Its totient is φ = 336251520.

The previous prime is 1618667819. The next prime is 1618667837. The reversal of 1618667820 is 287668161.

It is a happy number.

1618667820 is a `hidden beast` number, since 1 + 618 + 6 + 6 + 7 + 8 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 455611 + ... + 459149.

It is an arithmetic number, because the mean of its divisors is an integer number (21971600).

Almost surely, 2^1618667820 is an apocalyptic number.

1618667820 is a gapful number since it is divisible by the number (10) 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 1618667820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163910400).

1618667820 is an abundant number, since it is smaller than the sum of its proper divisors (4709152980).

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

1618667820 is a wasteful number, since it uses less digits than its factorization.

1618667820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1618667820 is about 40232.6710522680. The cubic root of 1618667820 is about 1174.1382714493.

The spelling of 1618667820 in words is "one billion, six hundred eighteen million, six hundred sixty-seven thousand, eight hundred twenty".