6121632 has 144 divisors (see below), whose sum is σ = 19305216. Its totient is φ = 1689600.

The previous prime is 6121627. The next prime is 6121637. The reversal of 6121632 is 2361216.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6121627) and next prime (6121637).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 6121599 and 6121608.

It is not an unprimeable number, because it can be changed into a prime (6121637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197457 + ... + 197487.

It is an arithmetic number, because the mean of its divisors is an integer number (134064).

Almost surely, 2^6121632 is an apocalyptic number.

6121632 is a gapful number since it is divisible by the number (62) 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 6121632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652608).

6121632 is an abundant number, since it is smaller than the sum of its proper divisors (13183584).

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

6121632 is a wasteful number, since it uses less digits than its factorization.

6121632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 6121632 is about 2474.1932018337. The cubic root of 6121632 is about 182.9317431846.

Adding to 6121632 its reverse (2361216), we get a palindrome (8482848).

The spelling of 6121632 in words is "six million, one hundred twenty-one thousand, six hundred thirty-two".