836490564 has 288 divisors, whose sum is σ = 2768147200. Its totient is φ = 219469824.

The previous prime is 836490533. The next prime is 836490607. The reversal of 836490564 is 465094638.

836490564 is a `hidden beast` number, since 83 + 6 + 4 + 9 + 0 + 564 = 666.

It is a super-2 number, since 2×836490564² = 1399432927322076192, which contains 22 as substring.

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, 4334052 + ... + 4334244.

Almost surely, 2^836490564 is an apocalyptic number.

836490564 is a gapful number since it is divisible by the number (84) 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 836490564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384073600).

836490564 is an abundant number, since it is smaller than the sum of its proper divisors (1931656636).

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

836490564 is a wasteful number, since it uses less digits than its factorization.

836490564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 836490564 is about 28922.1466008317. The cubic root of 836490564 is about 942.2229583002. Note that the first 3 decimals are identical.

The spelling of 836490564 in words is "eight hundred thirty-six million, four hundred ninety thousand, five hundred sixty-four".