1233732864 has 288 divisors, whose sum is σ = 4102389760. Its totient is φ = 320495616.

The previous prime is 1233732803. The next prime is 1233732881. The reversal of 1233732864 is 4682373321.

It is a hoax number, since the sum of its digits (39) 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 (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8875707 + ... + 8875845.

Almost surely, 2^1233732864 is an apocalyptic number.

1233732864 is a gapful number since it is divisible by the number (14) 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 1233732864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051194880).

1233732864 is an abundant number, since it is smaller than the sum of its proper divisors (2868656896).

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

1233732864 is a wasteful number, since it uses less digits than its factorization.

1233732864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 1233732864 is about 35124.5336481497. The cubic root of 1233732864 is about 1072.5240624678.

The spelling of 1233732864 in words is "one billion, two hundred thirty-three million, seven hundred thirty-two thousand, eight hundred sixty-four".