1032001520 has 80 divisors (see below), whose sum is σ = 2623439232. Its totient is φ = 374426880.

The previous prime is 1032001519. The next prime is 1032001577. The reversal of 1032001520 is 251002301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1032001495 and 1032001504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494399 + ... + 496481.

Almost surely, 2^1032001520 is an apocalyptic number.

1032001520 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 1032001520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311719616).

1032001520 is an abundant number, since it is smaller than the sum of its proper divisors (1591437712).

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

1032001520 is a wasteful number, since it uses less digits than its factorization.

1032001520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1032001520 is about 32124.7804661760. The cubic root of 1032001520 is about 1010.5553655795. Note that the first 3 decimals are identical.

Adding to 1032001520 its reverse (251002301), we get a palindrome (1283003821).

The spelling of 1032001520 in words is "one billion, thirty-two million, one thousand, five hundred twenty".