618503040 has 384 divisors, whose sum is σ = 2292282720. Its totient is φ = 159252480.

The previous prime is 618503003. The next prime is 618503059. The reversal of 618503040 is 40305816.

618503040 is a `hidden beast` number, since 618 + 5 + 0 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 618502995 and 618503013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6376272 + ... + 6376368.

Almost surely, 2^618503040 is an apocalyptic number.

618503040 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 618503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146141360).

618503040 is an abundant number, since it is smaller than the sum of its proper divisors (1673779680).

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

618503040 is an equidigital number, since it uses as much as digits as its factorization.

618503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 618503040 is about 24869.7213494643. The cubic root of 618503040 is about 852.0150761070.

Adding to 618503040 its reverse (40305816), we get a palindrome (658808856).

The spelling of 618503040 in words is "six hundred eighteen million, five hundred three thousand, forty".