1213736832 has 256 divisors, whose sum is σ = 4467110400. Its totient is φ = 315187200.

The previous prime is 1213736827. The next prime is 1213736837. The reversal of 1213736832 is 2386373121.

It is an interprime number because it is at equal distance from previous prime (1213736827) and next prime (1213736837).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213736837) 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, 263832 + ... + 268392.

It is an arithmetic number, because the mean of its divisors is an integer number (17449650).

Almost surely, 2^1213736832 is an apocalyptic number.

1213736832 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 1213736832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233555200).

1213736832 is an abundant number, since it is smaller than the sum of its proper divisors (3253373568).

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

1213736832 is a wasteful number, since it uses less digits than its factorization.

1213736832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602 (or 4584 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 1213736832 is about 34838.7260387058. The cubic root of 1213736832 is about 1066.6980726864.

The spelling of 1213736832 in words is "one billion, two hundred thirteen million, seven hundred thirty-six thousand, eight hundred thirty-two".