1233493920 has 120 divisors (see below), whose sum is σ = 4353251364. Its totient is φ = 328928256.

The previous prime is 1233493883. The next prime is 1233493957. The reversal of 1233493920 is 293943321.

It is an interprime number because it is at equal distance from previous prime (1233493883) and next prime (1233493957).

It can be written as a sum of positive squares in 2 ways, for example, as 1226960784 + 6533136 = 35028^2 + 2556^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34629 + ... + 60548.

Almost surely, 2^1233493920 is an apocalyptic number.

1233493920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233493920 is an abundant number, since it is smaller than the sum of its proper divisors (3119757444).

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

1233493920 is an equidigital number, since it uses as much as digits as its factorization.

1233493920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95204 (or 95187 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 1233493920 is about 35121.1321002043. The cubic root of 1233493920 is about 1072.4548174031.

The spelling of 1233493920 in words is "one billion, two hundred thirty-three million, four hundred ninety-three thousand, nine hundred twenty".