4787964 has 48 divisors (see below), whose sum is σ = 12714240. Its totient is φ = 1557360.

The previous prime is 4787963. The next prime is 4787969. The reversal of 4787964 is 4697874.

4787964 = 202² + 203² + ... + 282².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4787963) 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, 4129 + ... + 5159.

It is an arithmetic number, because the mean of its divisors is an integer number (264880).

Almost surely, 2^4787964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4787964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357120).

4787964 is an abundant number, since it is smaller than the sum of its proper divisors (7926276).

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

4787964 is a wasteful number, since it uses less digits than its factorization.

4787964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1079 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 4787964 is about 2188.1416773143. The cubic root of 4787964 is about 168.5454212214.

The spelling of 4787964 in words is "four million, seven hundred eighty-seven thousand, nine hundred sixty-four".