1026766152 has 128 divisors (see below), whose sum is σ = 2923920000. Its totient is φ = 333745920.

The previous prime is 1026766151. The next prime is 1026766163. The reversal of 1026766152 is 2516676201.

It is a happy number.

1026766152 is a `hidden beast` number, since 10 + 26 + 7 + 6 + 615 + 2 = 666.

1026766152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1026766151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1962963 + ... + 1963485.

It is an arithmetic number, because the mean of its divisors is an integer number (22843125).

Almost surely, 2^1026766152 is an apocalyptic number.

1026766152 is a gapful number since it is divisible by the number (12) 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 1026766152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461960000).

1026766152 is an abundant number, since it is smaller than the sum of its proper divisors (1897153848).

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

1026766152 is a wasteful number, since it uses less digits than its factorization.

1026766152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1026766152 is about 32043.1919758316. The cubic root of 1026766152 is about 1008.8436106658.

The spelling of 1026766152 in words is "one billion, twenty-six million, seven hundred sixty-six thousand, one hundred fifty-two".