97477920 has 144 divisors (see below), whose sum is σ = 335724480. Its totient is φ = 25754112.

The previous prime is 97477909. The next prime is 97477927. The reversal of 97477920 is 2977479.

It is a happy number.

97477920 is a `hidden beast` number, since 97 + 477 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (97477927) 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, 199917 + ... + 200403.

It is an arithmetic number, because the mean of its divisors is an integer number (2331420).

Almost surely, 2^97477920 is an apocalyptic number.

97477920 is a gapful number since it is divisible by the number (90) 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 97477920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167862240).

97477920 is an abundant number, since it is smaller than the sum of its proper divisors (238246560).

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

97477920 is a wasteful number, since it uses less digits than its factorization.

97477920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 97477920 is about 9873.0907014977. The cubic root of 97477920 is about 460.2234579091.

The spelling of 97477920 in words is "ninety-seven million, four hundred seventy-seven thousand, nine hundred twenty".