1033840920 has 256 divisors, whose sum is σ = 3761049600. Its totient is φ = 222082560.

The previous prime is 1033840891. The next prime is 1033840931. The reversal of 1033840920 is 290483301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3367407 + ... + 3367713.

It is an arithmetic number, because the mean of its divisors is an integer number (14691600).

Almost surely, 2^1033840920 is an apocalyptic number.

1033840920 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 1033840920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880524800).

1033840920 is an abundant number, since it is smaller than the sum of its proper divisors (2727208680).

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

1033840920 is a wasteful number, since it uses less digits than its factorization.

1033840920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1033840920 is about 32153.3967101456. The cubic root of 1033840920 is about 1011.1554009590.

The spelling of 1033840920 in words is "one billion, thirty-three million, eight hundred forty thousand, nine hundred twenty".