6961400 has 24 divisors (see below), whose sum is σ = 16185720. Its totient is φ = 2784480.

The previous prime is 6961393. The next prime is 6961403. The reversal of 6961400 is 41696.

It is a super-2 number, since 2×6961400² = 96922179920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6961400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6961403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17204 + ... + 17603.

It is an arithmetic number, because the mean of its divisors is an integer number (674405).

Almost surely, 2^6961400 is an apocalyptic number.

It is an amenable number.

6961400 is an abundant number, since it is smaller than the sum of its proper divisors (9224320).

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

6961400 is a wasteful number, since it uses less digits than its factorization.

6961400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34823 (or 34814 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 6961400 is about 2638.4465126282. The cubic root of 6961400 is about 190.9408550184.

Adding to 6961400 its product of nonzero digits (1296), we get a palindrome (6962696).

The spelling of 6961400 in words is "six million, nine hundred sixty-one thousand, four hundred".