1038955820 has 144 divisors (see below), whose sum is σ = 2627922528. Its totient is φ = 343848960.

The previous prime is 1038955817. The next prime is 1038955831. The reversal of 1038955820 is 285598301.

1038955820 = T₁₈₁ + T₁₈₂ + ... + T₁₈₄₀.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4310900 + ... + 4311140.

It is an arithmetic number, because the mean of its divisors is an integer number (18249462).

Almost surely, 2^1038955820 is an apocalyptic number.

1038955820 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 1038955820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313961264).

1038955820 is an abundant number, since it is smaller than the sum of its proper divisors (1588966708).

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

1038955820 is a wasteful number, since it uses less digits than its factorization.

1038955820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 41.

The square root of 1038955820 is about 32232.8376039095. The cubic root of 1038955820 is about 1012.8202131017.

The spelling of 1038955820 in words is "one billion, thirty-eight million, nine hundred fifty-five thousand, eight hundred twenty".