1023734640 has 40 divisors (see below), whose sum is σ = 3173578128. Its totient is φ = 272995840.

The previous prime is 1023734639. The next prime is 1023734641. The reversal of 1023734640 is 464373201.

1023734640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1023734639) and next prime (1023734641).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1023734640² = 2096065226271859200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1023734598 and 1023734607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023734641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2132541 + ... + 2133020.

Almost surely, 2^1023734640 is an apocalyptic number.

1023734640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023734640 is an abundant number, since it is smaller than the sum of its proper divisors (2149843488).

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

1023734640 is a wasteful number, since it uses less digits than its factorization.

1023734640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265577 (or 4265571 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 1023734640 is about 31995.8534813497. The cubic root of 1023734640 is about 1007.8497665998.

The spelling of 1023734640 in words is "one billion, twenty-three million, seven hundred thirty-four thousand, six hundred forty".