307061820 has 384 divisors, whose sum is σ = 1137991680. Its totient is φ = 68014080.

The previous prime is 307061809. The next prime is 307061873. The reversal of 307061820 is 28160703.

It is a super-2 number, since 2×307061820² = 188573922603424800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3699499 + ... + 3699581.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 2^307061820 is an apocalyptic number.

307061820 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 307061820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568995840).

307061820 is an abundant number, since it is smaller than the sum of its proper divisors (830929860).

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

307061820 is a wasteful number, since it uses less digits than its factorization.

307061820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 307061820 is about 17523.1795060143. The cubic root of 307061820 is about 674.6449490779.

The spelling of 307061820 in words is "three hundred seven million, sixty-one thousand, eight hundred twenty".