1034134560 has 96 divisors (see below), whose sum is σ = 3619486080. Its totient is φ = 275768064.

The previous prime is 1034134537. The next prime is 1034134583. The reversal of 1034134560 is 654314301.

It is an interprime number because it is at equal distance from previous prime (1034134537) and next prime (1034134583).

It is a tau number, because it is divible by the number of its divisors (96).

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115372 + ... + 124011.

It is an arithmetic number, because the mean of its divisors is an integer number (37702980).

Almost surely, 2^1034134560 is an apocalyptic number.

1034134560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034134560 is an abundant number, since it is smaller than the sum of its proper divisors (2585351520).

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

1034134560 is a wasteful number, since it uses less digits than its factorization.

1034134560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239407 (or 239393 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1034134560 is about 32157.9626220319. The cubic root of 1034134560 is about 1011.2511241210.

Adding to 1034134560 its reverse (654314301), we get a palindrome (1688448861).

The spelling of 1034134560 in words is "one billion, thirty-four million, one hundred thirty-four thousand, five hundred sixty".