361126920 has 512 divisors, whose sum is σ = 1517875200. Its totient is φ = 66908160.

The previous prime is 361126907. The next prime is 361126921. The reversal of 361126920 is 29621163.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361126921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19006671 + ... + 19006689.

It is an arithmetic number, because the mean of its divisors is an integer number (2964600).

Almost surely, 2^361126920 is an apocalyptic number.

361126920 is a gapful number since it is divisible by the number (30) 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 361126920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758937600).

361126920 is an abundant number, since it is smaller than the sum of its proper divisors (1156748280).

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

361126920 is a wasteful number, since it uses less digits than its factorization.

361126920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 361126920 is about 19003.3397064832. The cubic root of 361126920 is about 712.1201718216.

The spelling of 361126920 in words is "three hundred sixty-one million, one hundred twenty-six thousand, nine hundred twenty".