1023765948 has 36 divisors (see below), whose sum is σ = 2671334848. Its totient is φ = 330246720.

The previous prime is 1023765947. The next prime is 1023765971. The reversal of 1023765948 is 8495673201.

1023765948 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

1023765948 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023765947) 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 11 ways as a sum of consecutive naturals, for example, 457561 + ... + 459792.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1023765948 = 2047531896, but 3⋅1023765948 = 3071297844 is not.

Almost surely, 2^1023765948 is an apocalyptic number.

1023765948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1023765948 is an abundant number, since it is smaller than the sum of its proper divisors (1647568900).

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

1023765948 is a wasteful number, since it uses less digits than its factorization.

1023765948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917394 (or 917389 counting only the distinct ones).

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

The square root of 1023765948 is about 31996.3427285057. The cubic root of 1023765948 is about 1007.8600405639.

The spelling of 1023765948 in words is "one billion, twenty-three million, seven hundred sixty-five thousand, nine hundred forty-eight".