1038514840 has 64 divisors (see below), whose sum is σ = 2553444000. Its totient is φ = 376995840.

The previous prime is 1038514823. The next prime is 1038514847. The reversal of 1038514840 is 484158301.

It is a junction number, because it is equal to n+sod(n) for n = 1038514796 and 1038514805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038514847) 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, 310296 + ... + 313624.

Almost surely, 2^1038514840 is an apocalyptic number.

1038514840 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 1038514840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276722000).

1038514840 is an abundant number, since it is smaller than the sum of its proper divisors (1514929160).

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

1038514840 is a wasteful number, since it uses less digits than its factorization.

1038514840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 1038514840 is about 32225.9963383601. The cubic root of 1038514840 is about 1012.6768972025.

The spelling of 1038514840 in words is "one billion, thirty-eight million, five hundred fourteen thousand, eight hundred forty".