1064124640 has 96 divisors (see below), whose sum is σ = 2661120000. Its totient is φ = 400992768.

The previous prime is 1064124617. The next prime is 1064124643. The reversal of 1064124640 is 464214601.

1064124640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1064124640² = 2264722498910259200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1064124599 and 1064124608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064124643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604081 + ... + 605839.

It is an arithmetic number, because the mean of its divisors is an integer number (27720000).

Almost surely, 2^1064124640 is an apocalyptic number.

1064124640 is a gapful number since it is divisible by the number (10) 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 1064124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330560000).

1064124640 is an abundant number, since it is smaller than the sum of its proper divisors (1596995360).

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

1064124640 is a wasteful number, since it uses less digits than its factorization.

1064124640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1064124640 is about 32620.9233468337. The cubic root of 1064124640 is about 1020.9336063138.

The spelling of 1064124640 in words is "one billion, sixty-four million, one hundred twenty-four thousand, six hundred forty".