30649920 has 112 divisors (see below), whose sum is σ = 111239808. Its totient is φ = 7004160.

The previous prime is 30649903. The next prime is 30649921. The reversal of 30649920 is 2994603.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30649921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4440 + ... + 9000.

Almost surely, 2^30649920 is an apocalyptic number.

30649920 is a gapful number since it is divisible by the number (30) 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 30649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55619904).

30649920 is an abundant number, since it is smaller than the sum of its proper divisors (80589888).

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

30649920 is a wasteful number, since it uses less digits than its factorization.

30649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4588 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 30649920 is about 5536.2369891471. The cubic root of 30649920 is about 312.9510755189.

The spelling of 30649920 in words is "thirty million, six hundred forty-nine thousand, nine hundred twenty".