1026432000 has 616 divisors, whose sum is σ = 4188358512. Its totient is φ = 248832000.

The previous prime is 1026431983. The next prime is 1026432031. The reversal of 1026432000 is 2346201.

It is a happy number.

1026432000 is a `hidden beast` number, since 1 + 0 + 2 + 643 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 93311995 + ... + 93312005.

Almost surely, 2^1026432000 is an apocalyptic number.

1026432000 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 1026432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094179256).

1026432000 is an abundant number, since it is smaller than the sum of its proper divisors (3161926512).

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

1026432000 is an frugal number, since it uses more digits than its factorization.

1026432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1026432000 is about 32037.9774642533. The cubic root of 1026432000 is about 1008.7341590359.

Adding to 1026432000 its reverse (2346201), we get a palindrome (1028778201).

The spelling of 1026432000 in words is "one billion, twenty-six million, four hundred thirty-two thousand".