2996064 has 72 divisors (see below), whose sum is σ = 8687952. Its totient is φ = 979200.

The previous prime is 2996047. The next prime is 2996087. The reversal of 2996064 is 4606992.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

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, 29037 + ... + 29139.

It is an arithmetic number, because the mean of its divisors is an integer number (120666).

2^2996064 is an apocalyptic number.

2996064 is a gapful number since it is divisible by the number (24) 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 2996064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343976).

2996064 is an abundant number, since it is smaller than the sum of its proper divisors (5691888).

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

2996064 is a wasteful number, since it uses less digits than its factorization.

2996064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2996064 is about 1730.9142093125. The cubic root of 2996064 is about 144.1618550449.

The spelling of 2996064 in words is "two million, nine hundred ninety-six thousand, sixty-four".