1063085400 has 288 divisors, whose sum is σ = 3881470320. Its totient is φ = 259200000.

The previous prime is 1063085389. The next prime is 1063085467. The reversal of 1063085400 is 45803601.

It is a super-2 number, since 2×1063085400² = 2260301135386320000, 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 71 ways as a sum of consecutive naturals, for example, 4235275 + ... + 4235525.

Almost surely, 2^1063085400 is an apocalyptic number.

1063085400 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 1063085400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940735160).

1063085400 is an abundant number, since it is smaller than the sum of its proper divisors (2818384920).

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

1063085400 is a wasteful number, since it uses less digits than its factorization.

1063085400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1063085400 is about 32604.9904155790. The cubic root of 1063085400 is about 1020.6011450641.

The spelling of 1063085400 in words is "one billion, sixty-three million, eighty-five thousand, four hundred".