1023998976 has 704 divisors, whose sum is σ = 4181775360. Its totient is φ = 238878720.

The previous prime is 1023998957. The next prime is 1023998981. The reversal of 1023998976 is 6798993201.

1023998976 = 205³ + 206³ + ... + 276³.

1023998976 is a `hidden beast` number, since 102 + 399 + 89 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-3 number, since 3×1023998976³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27675630 + ... + 27675666.

Almost surely, 2^1023998976 is an apocalyptic number.

1023998976 is a gapful number since it is divisible by the number (16) 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 1023998976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090887680).

1023998976 is an abundant number, since it is smaller than the sum of its proper divisors (3157776384).

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

1023998976 is a wasteful number, since it uses less digits than its factorization.

1023998976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 1023998976 is about 31999.9839999960. The cubic root of 1023998976 is about 1007.9365039368.

It can be divided in two parts, 1023 and 998976, that added together give a palindrome (999999).

The spelling of 1023998976 in words is "one billion, twenty-three million, nine hundred ninety-eight thousand, nine hundred seventy-six".