1033890000 has 400 divisors, whose sum is σ = 3937289664. Its totient is φ = 230400000.

The previous prime is 1033889993. The next prime is 1033890017. The reversal of 1033890000 is 983301.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4289880 + ... + 4290120.

Almost surely, 2^1033890000 is an apocalyptic number.

1033890000 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 1033890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968644832).

1033890000 is an abundant number, since it is smaller than the sum of its proper divisors (2903399664).

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

1033890000 is a wasteful number, since it uses less digits than its factorization.

1033890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1033890000 is about 32154.1599174975. The cubic root of 1033890000 is about 1011.1714017192.

The spelling of 1033890000 in words is "one billion, thirty-three million, eight hundred ninety thousand".