1026236400 has 360 divisors, whose sum is σ = 3954461184. Its totient is φ = 226598400.

The previous prime is 1026236381. The next prime is 1026236401. The reversal of 1026236400 is 46326201.

It is a super-2 number, since 2×1026236400² = 2106322297369920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026236401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1822519 + ... + 1823081.

Almost surely, 2^1026236400 is an apocalyptic number.

1026236400 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 1026236400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977230592).

1026236400 is an abundant number, since it is smaller than the sum of its proper divisors (2928224784).

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

1026236400 is a wasteful number, since it uses less digits than its factorization.

1026236400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1026236400 is about 32034.9246916549. The cubic root of 1026236400 is about 1008.6700791501.

The spelling of 1026236400 in words is "one billion, twenty-six million, two hundred thirty-six thousand, four hundred".