30646040 has 48 divisors (see below), whose sum is σ = 71491680. Its totient is φ = 11822720.

The previous prime is 30645991. The next prime is 30646043. The reversal of 30646040 is 4064603.

30646040 = 579² + 580² + ... + 658².

It is a junction number, because it is equal to n+sod(n) for n = 30645997 and 30646015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30646043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33185 + ... + 34095.

It is an arithmetic number, because the mean of its divisors is an integer number (1489410).

Almost surely, 2^30646040 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 30646040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35745840).

30646040 is an abundant number, since it is smaller than the sum of its proper divisors (40845640).

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

30646040 is a wasteful number, since it uses less digits than its factorization.

30646040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 30646040 is about 5535.8865595314. The cubic root of 30646040 is about 312.9378693787.

The spelling of 30646040 in words is "thirty million, six hundred forty-six thousand, forty".