1264086000 has 480 divisors, whose sum is σ = 4869658560. Its totient is φ = 317260800.

The previous prime is 1264085969. The next prime is 1264086011. The reversal of 1264086000 is 6804621.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1264086000 is a `hidden beast` number, since 12 + 6 + 40 + 8 + 600 + 0 = 666.

1264086000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74357992 + ... + 74358008.

It is an arithmetic number, because the mean of its divisors is an integer number (10145122).

Almost surely, 2^1264086000 is an apocalyptic number.

1264086000 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 1264086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434829280).

1264086000 is an abundant number, since it is smaller than the sum of its proper divisors (3605572560).

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

1264086000 is an frugal number, since it uses more digits than its factorization.

1264086000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1264086000 is about 35553.9871181841. The cubic root of 1264086000 is about 1081.2485560251.

The spelling of 1264086000 in words is "one billion, two hundred sixty-four million, eighty-six thousand".