1064369376 has 288 divisors, whose sum is σ = 3732341760. Its totient is φ = 293932800.

The previous prime is 1064369357. The next prime is 1064369387. The reversal of 1064369376 is 6739634601.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1064369376² = 2265764337133258752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312011 + ... + 1312821.

It is an arithmetic number, because the mean of its divisors is an integer number (12959520).

Almost surely, 2^1064369376 is an apocalyptic number.

1064369376 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 1064369376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866170880).

1064369376 is an abundant number, since it is smaller than the sum of its proper divisors (2667972384).

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

1064369376 is a wasteful number, since it uses less digits than its factorization.

1064369376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 1064369376 is about 32624.6743432023. The cubic root of 1064369376 is about 1021.0118678399.

The spelling of 1064369376 in words is "one billion, sixty-four million, three hundred sixty-nine thousand, three hundred seventy-six".