30292080 has 320 divisors, whose sum is σ = 123325440. Its totient is φ = 5971968.

The previous prime is 30292069. The next prime is 30292103. The reversal of 30292080 is 8029203.

30292080 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×30292080² = 1835220221452800, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 30292080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414924 + ... + 414996.

It is an arithmetic number, because the mean of its divisors is an integer number (385392).

Almost surely, 2^30292080 is an apocalyptic number.

30292080 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 30292080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61662720).

30292080 is an abundant number, since it is smaller than the sum of its proper divisors (93033360).

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

30292080 is a wasteful number, since it uses less digits than its factorization.

30292080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 30292080 is about 5503.8241250970. The cubic root of 30292080 is about 311.7283961092.

The spelling of 30292080 in words is "thirty million, two hundred ninety-two thousand, eighty".