1020434688 has 432 divisors, whose sum is σ = 3761744896. Its totient is φ = 258785280.

The previous prime is 1020434683. The next prime is 1020434717. The reversal of 1020434688 is 8864340201.

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

It is not an unprimeable number, because it can be changed into a prime (1020434683) 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, 6499506 + ... + 6499662.

Almost surely, 2^1020434688 is an apocalyptic number.

1020434688 is a gapful number since it is divisible by the number (18) 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 1020434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880872448).

1020434688 is an abundant number, since it is smaller than the sum of its proper divisors (2741310208).

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

1020434688 is a wasteful number, since it uses less digits than its factorization.

1020434688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1020434688 is about 31944.2434250680. The cubic root of 1020434688 is about 1006.7656849420.

Adding to 1020434688 its reverse (8864340201), we get a palindrome (9884774889).

The spelling of 1020434688 in words is "one billion, twenty million, four hundred thirty-four thousand, six hundred eighty-eight".