4196920 has 64 divisors (see below), whose sum is σ = 11632320. Its totient is φ = 1327104.

The previous prime is 4196917. The next prime is 4196923. The reversal of 4196920 is 296914.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4196917) and next prime (4196923).

It is a super-2 number, since 2×4196920² = 35228274972800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4196923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3064 + ... + 4216.

It is an arithmetic number, because the mean of its divisors is an integer number (181755).

Almost surely, 2^4196920 is an apocalyptic number.

4196920 is a gapful number since it is divisible by the number (40) 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 4196920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816160).

4196920 is an abundant number, since it is smaller than the sum of its proper divisors (7435400).

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

4196920 is a wasteful number, since it uses less digits than its factorization.

4196920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 4196920 is about 2048.6385723207. The cubic root of 4196920 is about 161.3034155909.

The spelling of 4196920 in words is "four million, one hundred ninety-six thousand, nine hundred twenty".