1034098560 has 384 divisors, whose sum is σ = 4105296000. Its totient is φ = 237219840.

The previous prime is 1034098547. The next prime is 1034098567. The reversal of 1034098560 is 658904301.

1034098560 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 0 + 98 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034098567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203411 + ... + 1204269.

It is an arithmetic number, because the mean of its divisors is an integer number (10690875).

Almost surely, 2^1034098560 is an apocalyptic number.

1034098560 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 1034098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052648000).

1034098560 is an abundant number, since it is smaller than the sum of its proper divisors (3071197440).

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

1034098560 is a wasteful number, since it uses less digits than its factorization.

1034098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1034098560 is about 32157.4028802078. The cubic root of 1034098560 is about 1011.2393895221.

It can be divided in two parts, 10340 and 98560, that added together give a square (108900 = 330²).

The spelling of 1034098560 in words is "one billion, thirty-four million, ninety-eight thousand, five hundred sixty".