1023135408 has 160 divisors (see below), whose sum is σ = 3191859200. Its totient is φ = 312595200.

The previous prime is 1023135383. The next prime is 1023135431. The reversal of 1023135408 is 8045313201.

It is a happy number.

1023135408 is a `hidden beast` number, since 102 + 3 + 13 + 540 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252438 + ... + 256458.

It is an arithmetic number, because the mean of its divisors is an integer number (19949120).

Almost surely, 2^1023135408 is an apocalyptic number.

1023135408 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 1023135408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595929600).

1023135408 is an abundant number, since it is smaller than the sum of its proper divisors (2168723792).

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

1023135408 is a wasteful number, since it uses less digits than its factorization.

1023135408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 4076 counting only the distinct ones).

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

The square root of 1023135408 is about 31986.4878972356. The cubic root of 1023135408 is about 1007.6530835657.

Adding to 1023135408 its reverse (8045313201), we get a palindrome (9068448609).

The spelling of 1023135408 in words is "one billion, twenty-three million, one hundred thirty-five thousand, four hundred eight".