1618102980 has 168 divisors, whose sum is σ = 5487235992. Its totient is φ = 398255616.

The previous prime is 1618102973. The next prime is 1618103009. The reversal of 1618102980 is 892018161.

1618102980 is a `hidden beast` number, since 1 + 618 + 10 + 29 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 185177664 + 1432925316 = 13608^2 + 37854^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 185272 + ... + 193808.

It is an arithmetic number, because the mean of its divisors is an integer number (32662119).

Almost surely, 2^1618102980 is an apocalyptic number.

1618102980 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 1618102980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743617996).

1618102980 is an abundant number, since it is smaller than the sum of its proper divisors (3869133012).

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

1618102980 is a wasteful number, since it uses less digits than its factorization.

1618102980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8577 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 1618102980 is about 40225.6507716159. The cubic root of 1618102980 is about 1174.0016822925.

The spelling of 1618102980 in words is "one billion, six hundred eighteen million, one hundred two thousand, nine hundred eighty".