618434880 has 168 divisors, whose sum is σ = 2284280928. Its totient is φ = 141345792.

The previous prime is 618434867. The next prime is 618434893. The reversal of 618434880 is 88434816.

It is an interprime number because it is at equal distance from previous prime (618434867) and next prime (618434893).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×618434880² = 764923401601228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40467 + ... + 53613.

Almost surely, 2^618434880 is an apocalyptic number.

618434880 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 618434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142140464).

618434880 is an abundant number, since it is smaller than the sum of its proper divisors (1665846048).

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

618434880 is a wasteful number, since it uses less digits than its factorization.

618434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13181 (or 13164 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 618434880 is about 24868.3509706615. The cubic root of 618434880 is about 851.9837771603.

The spelling of 618434880 in words is "six hundred eighteen million, four hundred thirty-four thousand, eight hundred eighty".