1036827456 has 168 divisors, whose sum is σ = 3213421056. Its totient is φ = 294174720.

The previous prime is 1036827443. The next prime is 1036827469. The reversal of 1036827456 is 6547286301.

It is an interprime number because it is at equal distance from previous prime (1036827443) and next prime (1036827469).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1036827456² = 2150022347030863872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1796640 + ... + 1797216.

Almost surely, 2^1036827456 is an apocalyptic number.

1036827456 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 1036827456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606710528).

1036827456 is an abundant number, since it is smaller than the sum of its proper divisors (2176593600).

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

1036827456 is a wasteful number, since it uses less digits than its factorization.

1036827456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 1036827456 is about 32199.8052168022. The cubic root of 1036827456 is about 1012.1281324218.

The spelling of 1036827456 in words is "one billion, thirty-six million, eight hundred twenty-seven thousand, four hundred fifty-six".