2960784 has 60 divisors (see below), whose sum is σ = 8583900. Its totient is φ = 951552.

The previous prime is 2960773. The next prime is 2960791. The reversal of 2960784 is 4870692.

It can be written as a sum of positive squares in 2 ways, for example, as 921600 + 2039184 = 960^2 + 1428^2 .

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

It is a d-powerful number, because it can be written as 2¹⁹ + 9⁵ + 6⁷ + 0 + 7³ + 8⁷ + 4² .

It is a nialpdrome in base 12.

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, 3822 + ... + 4530.

It is an arithmetic number, because the mean of its divisors is an integer number (143065).

2^2960784 is an apocalyptic number.

2960784 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 2960784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291950).

2960784 is an abundant number, since it is smaller than the sum of its proper divisors (5623116).

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

2960784 is a wasteful number, since it uses less digits than its factorization.

2960784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2960784 is about 1720.6928836954. The cubic root of 2960784 is about 143.5937624507.

The spelling of 2960784 in words is "two million, nine hundred sixty thousand, seven hundred eighty-four".