618953940 has 192 divisors, whose sum is σ = 2128896000. Its totient is φ = 148037760.

The previous prime is 618953939. The next prime is 618953953. The reversal of 618953940 is 49359816.

It is a happy number.

618953940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 468601 + ... + 469919.

It is an arithmetic number, because the mean of its divisors is an integer number (11088000).

Almost surely, 2^618953940 is an apocalyptic number.

618953940 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 618953940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064448000).

618953940 is an abundant number, since it is smaller than the sum of its proper divisors (1509942060).

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

618953940 is a wasteful number, since it uses less digits than its factorization.

618953940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 618953940 is about 24878.7849381757. The cubic root of 618953940 is about 852.2220706590. Note that the first 3 decimals are identical.

The spelling of 618953940 in words is "six hundred eighteen million, nine hundred fifty-three thousand, nine hundred forty".