97853760 has 168 divisors, whose sum is σ = 342707976. Its totient is φ = 25620480.

The previous prime is 97853719. The next prime is 97853771. The reversal of 97853760 is 6735879.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4769856 + 93083904 = 2184^2 + 9648^2 .

It is a super-2 number, since 2×97853760² = 19150716692275200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175402 + ... + 175958.

Almost surely, 2^97853760 is an apocalyptic number.

97853760 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 97853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171353988).

97853760 is an abundant number, since it is smaller than the sum of its proper divisors (244854216).

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

97853760 is a wasteful number, since it uses less digits than its factorization.

97853760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 97853760 is about 9892.1059436300. The cubic root of 97853760 is about 460.8141850379.

The spelling of 97853760 in words is "ninety-seven million, eight hundred fifty-three thousand, seven hundred sixty".