6962048 has 32 divisors (see below), whose sum is σ = 14025000. Its totient is φ = 3442176.

The previous prime is 6962041. The next prime is 6962057. The reversal of 6962048 is 8402696.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×6962048² = 96940224708608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6961999 and 6962017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6962041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13703 + ... + 14201.

Almost surely, 2^6962048 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 6962048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7012500).

6962048 is an abundant number, since it is smaller than the sum of its proper divisors (7062952).

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

6962048 is a wasteful number, since it uses less digits than its factorization.

6962048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 6962048 is about 2638.5693093038. The cubic root of 6962048 is about 190.9467793935.

It can be divided in two parts, 696 and 2048, that added together give a cube (2744 = 14³).

The spelling of 6962048 in words is "six million, nine hundred sixty-two thousand, forty-eight".