1026670400 has 168 divisors, whose sum is σ = 2981285376. Its totient is φ = 340531200.

The previous prime is 1026670391. The next prime is 1026670417. The reversal of 1026670400 is 40766201.

It is a super-4 number, since 4×1026670400⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1026670400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345722 + ... + 348678.

Almost surely, 2^1026670400 is an apocalyptic number.

1026670400 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 1026670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490642688).

1026670400 is an abundant number, since it is smaller than the sum of its proper divisors (1954614976).

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

1026670400 is a wasteful number, since it uses less digits than its factorization.

1026670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 1026670400 is about 32041.6978326680. The cubic root of 1026670400 is about 1008.8122494851.

The spelling of 1026670400 in words is "one billion, twenty-six million, six hundred seventy thousand, four hundred".