1064050624 has 56 divisors (see below), whose sum is σ = 2598753248. Its totient is φ = 420940800.

The previous prime is 1064050613. The next prime is 1064050639. The reversal of 1064050624 is 4260504601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1064050624² = 2264407460869578752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1064050592 and 1064050601.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 85527 + ... + 97174.

It is an arithmetic number, because the mean of its divisors is an integer number (46406308).

Almost surely, 2^1064050624 is an apocalyptic number.

1064050624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1064050624 is an abundant number, since it is smaller than the sum of its proper divisors (1534702624).

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

1064050624 is a wasteful number, since it uses less digits than its factorization.

1064050624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182733 (or 182723 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1064050624 is about 32619.7888405183. The cubic root of 1064050624 is about 1020.9099351601.

The spelling of 1064050624 in words is "one billion, sixty-four million, fifty thousand, six hundred twenty-four".