6741900 has 144 divisors (see below), whose sum is σ = 23748480. Its totient is φ = 1627200.

The previous prime is 6741899. The next prime is 6741901. The reversal of 6741900 is 91476.

It is an interprime number because it is at equal distance from previous prime (6741899) and next prime (6741901).

It is a super-2 number, since 2×6741900² = 90906431220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6741901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29587 + ... + 29813.

It is an arithmetic number, because the mean of its divisors is an integer number (164920).

Almost surely, 2^6741900 is an apocalyptic number.

6741900 is a gapful number since it is divisible by the number (60) 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 6741900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874240).

6741900 is an abundant number, since it is smaller than the sum of its proper divisors (17006580).

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

6741900 is a wasteful number, since it uses less digits than its factorization.

6741900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 6741900 is about 2596.5168976920. The cubic root of 6741900 is about 188.9125319630.

The spelling of 6741900 in words is "six million, seven hundred forty-one thousand, nine hundred".