97579440 has 240 divisors, whose sum is σ = 394617600. Its totient is φ = 21109248.

The previous prime is 97579423. The next prime is 97579463. The reversal of 97579440 is 4497579.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×97579440² = 19043494221427200, which contains 22 as substring.

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

It is a nialpdrome in base 15.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 95251 + ... + 96269.

It is an arithmetic number, because the mean of its divisors is an integer number (1644240).

Almost surely, 2^97579440 is an apocalyptic number.

97579440 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 97579440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197308800).

97579440 is an abundant number, since it is smaller than the sum of its proper divisors (297038160).

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

97579440 is a wasteful number, since it uses less digits than its factorization.

97579440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1055 counting only the distinct ones).

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

The square root of 97579440 is about 9878.2306107926. The cubic root of 97579440 is about 460.3831715997.

The spelling of 97579440 in words is "ninety-seven million, five hundred seventy-nine thousand, four hundred forty".