30977640 has 96 divisors (see below), whose sum is σ = 104438880. Its totient is φ = 8258112.

The previous prime is 30977633. The next prime is 30977647. The reversal of 30977640 is 4677903.

30977640 is a `hidden beast` number, since 3 + 0 + 9 + 7 + 7 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (30977633) and next prime (30977647).

It is a super-2 number, since 2×30977640² = 1919228359939200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30977595 and 30977604.

It is not an unprimeable number, because it can be changed into a prime (30977647) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8127 + ... + 11313.

It is an arithmetic number, because the mean of its divisors is an integer number (1087905).

Almost surely, 2^30977640 is an apocalyptic number.

30977640 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 30977640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52219440).

30977640 is an abundant number, since it is smaller than the sum of its proper divisors (73461240).

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

30977640 is a wasteful number, since it uses less digits than its factorization.

30977640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 30977640 is about 5565.7560133373. The cubic root of 30977640 is about 314.0625188238.

The spelling of 30977640 in words is "thirty million, nine hundred seventy-seven thousand, six hundred forty".