6964416 has 84 divisors (see below), whose sum is σ = 20327112. Its totient is φ = 2279424.

The previous prime is 6964387. The next prime is 6964421. The reversal of 6964416 is 6144696.

6964416 is a `hidden beast` number, since 6 + 9 + 644 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61576 + ... + 61688.

Almost surely, 2^6964416 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 6964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10163556).

6964416 is an abundant number, since it is smaller than the sum of its proper divisors (13362696).

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

6964416 is a wasteful number, since it uses less digits than its factorization.

6964416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 6964416 is about 2639.0179991808. The cubic root of 6964416 is about 190.9684258362.

The spelling of 6964416 in words is "six million, nine hundred sixty-four thousand, four hundred sixteen".