1026150400 has 156 divisors (see below), whose sum is σ = 2778911424. Its totient is φ = 372736000.

The previous prime is 1026150397. The next prime is 1026150421. The reversal of 1026150400 is 40516201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1125945 + ... + 1126855.

Almost surely, 2^1026150400 is an apocalyptic number.

1026150400 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 1026150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389455712).

1026150400 is an abundant number, since it is smaller than the sum of its proper divisors (1752761024).

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

1026150400 is an equidigital number, since it uses as much as digits as its factorization.

1026150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1026150400 is about 32033.5823784977. The cubic root of 1026150400 is about 1008.6419023902.

Adding to 1026150400 its reverse (40516201), we get a palindrome (1066666601).

The spelling of 1026150400 in words is "one billion, twenty-six million, one hundred fifty thousand, four hundred".