1011600408 has 128 divisors (see below), whose sum is σ = 3140928000. Its totient is φ = 264370176.

The previous prime is 1011600391. The next prime is 1011600409. The reversal of 1011600408 is 8040061101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011600409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244743 + ... + 248841.

It is an arithmetic number, because the mean of its divisors is an integer number (24538500).

Almost surely, 2^1011600408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011600408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570464000).

1011600408 is an abundant number, since it is smaller than the sum of its proper divisors (2129327592).

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

1011600408 is a wasteful number, since it uses less digits than its factorization.

1011600408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1011600408 is about 31805.6662876287. Note that the first 3 decimals coincide. The cubic root of 1011600408 is about 1003.8519461266.

Adding to 1011600408 its reverse (8040061101), we get a palindrome (9051661509).

The spelling of 1011600408 in words is "one billion, eleven million, six hundred thousand, four hundred eight".