2961864 has 48 divisors (see below), whose sum is σ = 8286720. Its totient is φ = 954720.

The previous prime is 2961863. The next prime is 2961877. The reversal of 2961864 is 4681692.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2961863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1569 + ... + 2895.

It is an arithmetic number, because the mean of its divisors is an integer number (172640).

2^2961864 is an apocalyptic number.

2961864 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 2961864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143360).

2961864 is an abundant number, since it is smaller than the sum of its proper divisors (5324856).

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

2961864 is a wasteful number, since it uses less digits than its factorization.

2961864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1363 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2961864 is about 1721.0066821486. The cubic root of 2961864 is about 143.6112198101.

The spelling of 2961864 in words is "two million, nine hundred sixty-one thousand, eight hundred sixty-four".