1068962400 has 432 divisors, whose sum is σ = 4259883600. Its totient is φ = 258508800.

The previous prime is 1068962399. The next prime is 1068962443. The reversal of 1068962400 is 42698601.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1068962400² = 2285361225227520000, which contains 22 as substring.

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

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, 2613396 + ... + 2613804.

Almost surely, 2^1068962400 is an apocalyptic number.

1068962400 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 1068962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129941800).

1068962400 is an abundant number, since it is smaller than the sum of its proper divisors (3190921200).

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

1068962400 is a wasteful number, since it uses less digits than its factorization.

1068962400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1068962400 is about 32694.9904419622. The cubic root of 1068962400 is about 1022.4784021518.

The spelling of 1068962400 in words is "one billion, sixty-eight million, nine hundred sixty-two thousand, four hundred".