1026036480 has 576 divisors, whose sum is σ = 4120704000. Its totient is φ = 216760320.

The previous prime is 1026036469. The next prime is 1026036493. The reversal of 1026036480 is 846306201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25025260 + ... + 25025300.

It is an arithmetic number, because the mean of its divisors is an integer number (7154000).

Almost surely, 2^1026036480 is an apocalyptic number.

1026036480 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 1026036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060352000).

1026036480 is an abundant number, since it is smaller than the sum of its proper divisors (3094667520).

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

1026036480 is an equidigital number, since it uses as much as digits as its factorization.

1026036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1026036480 is about 32031.8041952057. The cubic root of 1026036480 is about 1008.6045755884.

The spelling of 1026036480 in words is "one billion, twenty-six million, thirty-six thousand, four hundred eighty".