1036853664 has 384 divisors, whose sum is σ = 3706601472. Its totient is φ = 245514240.

The previous prime is 1036853651. The next prime is 1036853677. The reversal of 1036853664 is 4663586301.

It is an interprime number because it is at equal distance from previous prime (1036853651) and next prime (1036853677).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4649457 + ... + 4649679.

It is an arithmetic number, because the mean of its divisors is an integer number (9652608).

Almost surely, 2^1036853664 is an apocalyptic number.

1036853664 is a gapful number since it is divisible by the number (14) 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 1036853664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853300736).

1036853664 is an abundant number, since it is smaller than the sum of its proper divisors (2669747808).

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

1036853664 is a wasteful number, since it uses less digits than its factorization.

1036853664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 1036853664 is about 32200.2121732140. The cubic root of 1036853664 is about 1012.1366602408.

The spelling of 1036853664 in words is "one billion, thirty-six million, eight hundred fifty-three thousand, six hundred sixty-four".