97876890 has 64 divisors (see below), whose sum is σ = 262310400. Its totient is φ = 25970112.

The previous prime is 97876873. The next prime is 97876897. The reversal of 97876890 is 9867879.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (97876897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61039 + ... + 62621.

It is an arithmetic number, because the mean of its divisors is an integer number (4098600).

Almost surely, 2^97876890 is an apocalyptic number.

97876890 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97876890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131155200).

97876890 is an abundant number, since it is smaller than the sum of its proper divisors (164433510).

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

97876890 is a wasteful number, since it uses less digits than its factorization.

97876890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 97876890 is about 9893.2749885971. The cubic root of 97876890 is about 460.8504902086.

The spelling of 97876890 in words is "ninety-seven million, eight hundred seventy-six thousand, eight hundred ninety".