97827840 has 264 divisors, whose sum is σ = 371702448. Its totient is φ = 23592960.

The previous prime is 97827823. The next prime is 97827857. The reversal of 97827840 is 4872879.

It is an interprime number because it is at equal distance from previous prime (97827823) and next prime (97827857).

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506784 + ... + 506976.

Almost surely, 2^97827840 is an apocalyptic number.

97827840 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 97827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185851224).

97827840 is an abundant number, since it is smaller than the sum of its proper divisors (273874608).

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

97827840 is a wasteful number, since it uses less digits than its factorization.

97827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 97827840 is about 9890.7957212754. The cubic root of 97827840 is about 460.7734938457.

The spelling of 97827840 in words is "ninety-seven million, eight hundred twenty-seven thousand, eight hundred forty".