1034858880 has 192 divisors, whose sum is σ = 3898599120. Its totient is φ = 250859520.

The previous prime is 1034858843. The next prime is 1034858887. The reversal of 1034858880 is 888584301.

1034858880 is a `hidden beast` number, since 10 + 3 + 485 + 88 + 80 = 666.

1034858880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034858887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55194 + ... + 71526.

Almost surely, 2^1034858880 is an apocalyptic number.

1034858880 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 1034858880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949299560).

1034858880 is an abundant number, since it is smaller than the sum of its proper divisors (2863740240).

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

1034858880 is a wasteful number, since it uses less digits than its factorization.

1034858880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16369 (or 16354 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 1034858880 is about 32169.2225582155. Note that the first 3 decimals coincide. The cubic root of 1034858880 is about 1011.4871664115.

The spelling of 1034858880 in words is "one billion, thirty-four million, eight hundred fifty-eight thousand, eight hundred eighty".