1024706640 has 80 divisors (see below), whose sum is σ = 3179760768. Its totient is φ = 272982528.

The previous prime is 1024706633. The next prime is 1024706647. The reversal of 1024706640 is 466074201.

It is an interprime number because it is at equal distance from previous prime (1024706633) and next prime (1024706647).

It is a tau number, because it is divible by the number of its divisors (80).

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 = 1024706598 and 1024706607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024706647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385797 + ... + 388443.

Almost surely, 2^1024706640 is an apocalyptic number.

1024706640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024706640 is an abundant number, since it is smaller than the sum of its proper divisors (2155054128).

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

1024706640 is a wasteful number, since it uses less digits than its factorization.

1024706640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1024706640 is about 32011.0393458257. The cubic root of 1024706640 is about 1008.1686383259.

The spelling of 1024706640 in words is "one billion, twenty-four million, seven hundred six thousand, six hundred forty".