97693440 has 288 divisors, whose sum is σ = 357127680. Its totient is φ = 22560768.

The previous prime is 97693429. The next prime is 97693451. The reversal of 97693440 is 4439679.

It is an interprime number because it is at equal distance from previous prime (97693429) and next prime (97693451).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 97693392 and 97693401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948429 + ... + 948531.

Almost surely, 2^97693440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178563840).

97693440 is an abundant number, since it is smaller than the sum of its proper divisors (259434240).

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

97693440 is a wasteful number, since it uses less digits than its factorization.

97693440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 97693440 is about 9883.9991906111. Note that the first 3 decimals coincide. The cubic root of 97693440 is about 460.5623871404.

The spelling of 97693440 in words is "ninety-seven million, six hundred ninety-three thousand, four hundred forty".