30629040 has 80 divisors (see below), whose sum is σ = 102264288. Its totient is φ = 7538688.

The previous prime is 30629033. The next prime is 30629051. The reversal of 30629040 is 4092603.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30629040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1789 + ... + 8028.

Almost surely, 2^30629040 is an apocalyptic number.

30629040 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 30629040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51132144).

30629040 is an abundant number, since it is smaller than the sum of its proper divisors (71635248).

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

30629040 is a wasteful number, since it uses less digits than its factorization.

30629040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9846 (or 9840 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 30629040 is about 5534.3509104501. The cubic root of 30629040 is about 312.8799942800.

The spelling of 30629040 in words is "thirty million, six hundred twenty-nine thousand, forty".