1033115904 has 144 divisors (see below), whose sum is σ = 3080226240. Its totient is φ = 341544960.

The previous prime is 1033115903. The next prime is 1033115953. The reversal of 1033115904 is 4095113301.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1033115903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946399 + ... + 947489.

It is an arithmetic number, because the mean of its divisors is an integer number (21390460).

Almost surely, 2^1033115904 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 1033115904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540113120).

1033115904 is an abundant number, since it is smaller than the sum of its proper divisors (2047110336).

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

1033115904 is a wasteful number, since it uses less digits than its factorization.

1033115904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1033115904 is about 32142.1204029852. The cubic root of 1033115904 is about 1010.9189766800.

The spelling of 1033115904 in words is "one billion, thirty-three million, one hundred fifteen thousand, nine hundred four".