1064267820 has 288 divisors, whose sum is σ = 4156379136. Its totient is φ = 213926400.

The previous prime is 1064267807. The next prime is 1064267879. The reversal of 1064267820 is 287624601.

1064267820 is a `hidden beast` number, since 1 + 0 + 642 + 6 + 7 + 8 + 2 + 0 = 666.

It is a super-2 number, since 2×1064267820² = 2265331985375104800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 428422 + ... + 430898.

It is an arithmetic number, because the mean of its divisors is an integer number (14431872).

Almost surely, 2^1064267820 is an apocalyptic number.

1064267820 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 1064267820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078189568).

1064267820 is an abundant number, since it is smaller than the sum of its proper divisors (3092111316).

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

1064267820 is a wasteful number, since it uses less digits than its factorization.

1064267820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1064267820 is about 32623.1178767450. The cubic root of 1064267820 is about 1020.9793937816.

The spelling of 1064267820 in words is "one billion, sixty-four million, two hundred sixty-seven thousand, eight hundred twenty".