97849620 has 360 divisors, whose sum is σ = 374441760. Its totient is φ = 21150720.

The previous prime is 97849597. The next prime is 97849621. The reversal of 97849620 is 2694879.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97849621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5149971 + ... + 5149989.

It is an arithmetic number, because the mean of its divisors is an integer number (1040116).

Almost surely, 2^97849620 is an apocalyptic number.

97849620 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 97849620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187220880).

97849620 is an abundant number, since it is smaller than the sum of its proper divisors (276592140).

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

97849620 is a wasteful number, since it uses less digits than its factorization.

97849620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 97849620 is about 9891.8966836497. The cubic root of 97849620 is about 460.8076862325.

The spelling of 97849620 in words is "ninety-seven million, eight hundred forty-nine thousand, six hundred twenty".