97654140 has 96 divisors (see below), whose sum is σ = 305712960. Its totient is φ = 25878528.

The previous prime is 97654127. The next prime is 97654163. The reversal of 97654140 is 4145679.

97654140 is a `hidden beast` number, since 9 + 76 + 541 + 40 = 666.

It is a super-3 number, since 3×97654140³ (a number of 25 digits) contains 333 as substring.

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 = 97654095 and 97654104.

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, 103752 + ... + 104688.

It is an arithmetic number, because the mean of its divisors is an integer number (3184510).

Almost surely, 2^97654140 is an apocalyptic number.

97654140 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 97654140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152856480).

97654140 is an abundant number, since it is smaller than the sum of its proper divisors (208058820).

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

97654140 is a wasteful number, since it uses less digits than its factorization.

97654140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 97654140 is about 9882.0109289557. The cubic root of 97654140 is about 460.5006206954.

The spelling of 97654140 in words is "ninety-seven million, six hundred fifty-four thousand, one hundred forty".