1001641788 has 240 divisors, whose sum is σ = 3147587520. Its totient is φ = 271724544.

The previous prime is 1001641757. The next prime is 1001641793. The reversal of 1001641788 is 8871461001.

1001641788 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 641 + 7 + 8 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6379806 + ... + 6379962.

It is an arithmetic number, because the mean of its divisors is an integer number (13114948).

Almost surely, 2^1001641788 is an apocalyptic number.

1001641788 is a gapful number since it is divisible by the number (18) 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 1001641788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573793760).

1001641788 is an abundant number, since it is smaller than the sum of its proper divisors (2145945732).

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

1001641788 is a wasteful number, since it uses less digits than its factorization.

1001641788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1001641788 is about 31648.7249032248. The cubic root of 1001641788 is about 1000.5469634431.

The spelling of 1001641788 in words is "one billion, one million, six hundred forty-one thousand, seven hundred eighty-eight".