4220964 has 144 divisors (see below), whose sum is σ = 13406400. Its totient is φ = 1140480.

The previous prime is 4220963. The next prime is 4220969. The reversal of 4220964 is 4690224.

4220964 = T₁₁₂ + T₁₁₃ + ... + T₂₉₈.

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

It is not an unprimeable number, because it can be changed into a prime (4220963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222147 + ... + 222165.

It is an arithmetic number, because the mean of its divisors is an integer number (93100).

Almost surely, 2^4220964 is an apocalyptic number.

4220964 is a gapful number since it is divisible by the number (44) 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 4220964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703200).

4220964 is an abundant number, since it is smaller than the sum of its proper divisors (9185436).

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

4220964 is a wasteful number, since it uses less digits than its factorization.

4220964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4220964 is about 2054.4984789481. The cubic root of 4220964 is about 161.6108629923.

It can be divided in two parts, 4220 and 964, that added together give a square (5184 = 72²).

The spelling of 4220964 in words is "four million, two hundred twenty thousand, nine hundred sixty-four".