30977920 has 64 divisors (see below), whose sum is σ = 74970000. Its totient is φ = 12238848.

The previous prime is 30977911. The next prime is 30977929. The reversal of 30977920 is 2977903.

It is an interprime number because it is at equal distance from previous prime (30977911) and next prime (30977929).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 30977920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30977929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61831 + ... + 62329.

Almost surely, 2^30977920 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 30977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37485000).

30977920 is an abundant number, since it is smaller than the sum of its proper divisors (43992080).

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

30977920 is an equidigital number, since it uses as much as digits as its factorization.

30977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 37.

The square root of 30977920 is about 5565.7811670960. The cubic root of 30977920 is about 314.0634650680.

The spelling of 30977920 in words is "thirty million, nine hundred seventy-seven thousand, nine hundred twenty".