1603055040 has 224 divisors, whose sum is σ = 5345948160. Its totient is φ = 406425600.

The previous prime is 1603055039. The next prime is 1603055053. The reversal of 1603055040 is 405503061.

It is a super-2 number, since 2×1603055040² = 5139570922538803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1603055040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1976235 + ... + 1977045.

It is an arithmetic number, because the mean of its divisors is an integer number (23865840).

Almost surely, 2^1603055040 is an apocalyptic number.

1603055040 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 1603055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672974080).

1603055040 is an abundant number, since it is smaller than the sum of its proper divisors (3742893120).

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

1603055040 is a wasteful number, since it uses less digits than its factorization.

1603055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1603055040 is about 40038.1697883407. The cubic root of 1603055040 is about 1170.3510379204.

The spelling of 1603055040 in words is "one billion, six hundred three million, fifty-five thousand, forty".