1032663420 has 72 divisors (see below), whose sum is σ = 3161746224. Its totient is φ = 272798208.

The previous prime is 1032663409. The next prime is 1032663427. The reversal of 1032663420 is 243662301.

1032663420 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 6 + 634 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032663427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7549 + ... + 46068.

It is an arithmetic number, because the mean of its divisors is an integer number (43913142).

Almost surely, 2^1032663420 is an apocalyptic number.

1032663420 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 1032663420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580873112).

1032663420 is an abundant number, since it is smaller than the sum of its proper divisors (2129082804).

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

1032663420 is a wasteful number, since it uses less digits than its factorization.

1032663420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53739 (or 53734 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1032663420 is about 32135.0808307681. The cubic root of 1032663420 is about 1010.7713677307.

The spelling of 1032663420 in words is "one billion, thirty-two million, six hundred sixty-three thousand, four hundred twenty".