336106920 has 128 divisors (see below), whose sum is σ = 1052092800. Its totient is φ = 85822464.

The previous prime is 336106919. The next prime is 336106921. The reversal of 336106920 is 29601633.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (336106919) and next prime (336106921).

It is a super-2 number, since 2×336106920² = 225935723343772800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (336106921) 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, 272866 + ... + 274094.

It is an arithmetic number, because the mean of its divisors is an integer number (8219475).

Almost surely, 2^336106920 is an apocalyptic number.

336106920 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 336106920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526046400).

336106920 is an abundant number, since it is smaller than the sum of its proper divisors (715985880).

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

336106920 is a wasteful number, since it uses less digits than its factorization.

336106920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 336106920 is about 18333.2190299467. The cubic root of 336106920 is about 695.2790625792.

The spelling of 336106920 in words is "three hundred thirty-six million, one hundred six thousand, nine hundred twenty".