2973768 has 64 divisors (see below), whose sum is σ = 8785920. Its totient is φ = 820800.

The previous prime is 2973767. The next prime is 2973787. The reversal of 2973768 is 8673792.

It is a super-2 number, since 2×2973768² = 17686592235648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2973767) 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, 4923 + ... + 5493.

It is an arithmetic number, because the mean of its divisors is an integer number (137280).

2^2973768 is an apocalyptic number.

2973768 is a gapful number since it is divisible by the number (28) 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 2973768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392960).

2973768 is an abundant number, since it is smaller than the sum of its proper divisors (5812152).

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

2973768 is a wasteful number, since it uses less digits than its factorization.

2973768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 614 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 2973768 is about 1724.4616551260. The cubic root of 2973768 is about 143.8033581375.

It can be divided in two parts, 2973 and 768, that added together give a triangular number (3741 = T₈₆).

The spelling of 2973768 in words is "two million, nine hundred seventy-three thousand, seven hundred sixty-eight".