1237913820 has 768 divisors, whose sum is σ = 5120962560. Its totient is φ = 243302400.

The previous prime is 1237913791. The next prime is 1237913827. The reversal of 1237913820 is 283197321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1237913827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30193000 + ... + 30193040.

It is an arithmetic number, because the mean of its divisors is an integer number (6667920).

Almost surely, 2^1237913820 is an apocalyptic number.

1237913820 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 1237913820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560481280).

1237913820 is an abundant number, since it is smaller than the sum of its proper divisors (3883048740).

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

1237913820 is a wasteful number, since it uses less digits than its factorization.

1237913820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1237913820 is about 35183.9994884038. Note that the first 3 decimals coincide. The cubic root of 1237913820 is about 1073.7342434115.

Adding to 1237913820 its sum of digits (36), we get a square (1237913856 = 35184²).

The spelling of 1237913820 in words is "one billion, two hundred thirty-seven million, nine hundred thirteen thousand, eight hundred twenty".