97620840 has 48 divisors (see below), whose sum is σ = 317268900. Its totient is φ = 26032128.

The previous prime is 97620839. The next prime is 97620847. The reversal of 97620840 is 4802679.

It can be written as a sum of positive squares in 2 ways, for example, as 95765796 + 1855044 = 9786^2 + 1362^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97620795 and 97620804.

It is not an unprimeable number, because it can be changed into a prime (97620847) 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 11 ways as a sum of consecutive naturals, for example, 135225 + ... + 135944.

Almost surely, 2^97620840 is an apocalyptic number.

97620840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97620840 is an abundant number, since it is smaller than the sum of its proper divisors (219648060).

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

97620840 is a wasteful number, since it uses less digits than its factorization.

97620840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271186 (or 271179 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 97620840 is about 9880.3259055559. The cubic root of 97620840 is about 460.4482712711.

The spelling of 97620840 in words is "ninety-seven million, six hundred twenty thousand, eight hundred forty".