1034638560 has 144 divisors (see below), whose sum is σ = 3545156160. Its totient is φ = 274775040.

The previous prime is 1034638541. The next prime is 1034638603. The reversal of 1034638560 is 658364301.

1034638560 is a `hidden beast` number, since 1 + 0 + 34 + 63 + 8 + 560 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 386025 + ... + 388695.

It is an arithmetic number, because the mean of its divisors is an integer number (24619140).

Almost surely, 2^1034638560 is an apocalyptic number.

1034638560 is a gapful number since it is divisible by the number (10) 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 1034638560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772578080).

1034638560 is an abundant number, since it is smaller than the sum of its proper divisors (2510517600).

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

1034638560 is a wasteful number, since it uses less digits than its factorization.

1034638560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1034638560 is about 32165.7979848161. The cubic root of 1034638560 is about 1011.4153799185.

The spelling of 1034638560 in words is "one billion, thirty-four million, six hundred thirty-eight thousand, five hundred sixty".