97291440 has 120 divisors (see below), whose sum is σ = 329138160. Its totient is φ = 25754112.

The previous prime is 97291429. The next prime is 97291451. The reversal of 97291440 is 4419279.

It is an interprime number because it is at equal distance from previous prime (97291429) and next prime (97291451).

It is a tau number, because it is divible by the number of its divisors (120).

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 = 97291395 and 97291404.

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, 116946 + ... + 117774.

It is an arithmetic number, because the mean of its divisors is an integer number (2742818).

Almost surely, 2^97291440 is an apocalyptic number.

97291440 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 97291440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164569080).

97291440 is an abundant number, since it is smaller than the sum of its proper divisors (231846720).

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

97291440 is a wasteful number, since it uses less digits than its factorization.

97291440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 97291440 is about 9863.6423292818. The cubic root of 97291440 is about 459.9297939485.

The spelling of 97291440 in words is "ninety-seven million, two hundred ninety-one thousand, four hundred forty".