1024765938 has 128 divisors (see below), whose sum is σ = 2705725440. Its totient is φ = 281413440.

The previous prime is 1024765927. The next prime is 1024765939. The reversal of 1024765938 is 8395674201.

1024765938 is a `hidden beast` number, since 10 + 2 + 47 + 6 + 593 + 8 = 666.

1024765938 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1024765938 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1024765893 and 1024765902.

It is not an unprimeable number, because it can be changed into a prime (1024765939) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1088548 + ... + 1089488.

It is an arithmetic number, because the mean of its divisors is an integer number (21138480).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1024765938 = 2049531876, but 3⋅1024765938 = 3074297814 is not.

Almost surely, 2^1024765938 is an apocalyptic number.

1024765938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024765938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352862720).

1024765938 is an abundant number, since it is smaller than the sum of its proper divisors (1680959502).

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

1024765938 is a wasteful number, since it uses less digits than its factorization.

1024765938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1024765938 is about 32011.9655441524. The cubic root of 1024765938 is about 1008.1880849423.

The spelling of 1024765938 in words is "one billion, twenty-four million, seven hundred sixty-five thousand, nine hundred thirty-eight".