1034633440 has 96 divisors (see below), whose sum is σ = 2508226560. Its totient is φ = 403167744.

The previous prime is 1034633423. The next prime is 1034633441. The reversal of 1034633440 is 443364301.

It is a junction number, because it is equal to n+sod(n) for n = 1034633399 and 1034633408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034633441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1198449 + ... + 1199311.

It is an arithmetic number, because the mean of its divisors is an integer number (26127360).

Almost surely, 2^1034633440 is an apocalyptic number.

1034633440 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 1034633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254113280).

1034633440 is an abundant number, since it is smaller than the sum of its proper divisors (1473593120).

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

1034633440 is a wasteful number, since it uses less digits than its factorization.

1034633440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 1034633440 is about 32165.7183970761. The cubic root of 1034633440 is about 1011.4137115564.

Adding to 1034633440 its reverse (443364301), we get a palindrome (1477997741).

The spelling of 1034633440 in words is "one billion, thirty-four million, six hundred thirty-three thousand, four hundred forty".