97664940 has 180 divisors, whose sum is σ = 325288656. Its totient is φ = 24525504.

The previous prime is 97664933. The next prime is 97664947. The reversal of 97664940 is 4946679.

It is an interprime number because it is at equal distance from previous prime (97664933) and next prime (97664947).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (97664947) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 584737 + ... + 584903.

Almost surely, 2^97664940 is an apocalyptic number.

97664940 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 97664940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162644328).

97664940 is an abundant number, since it is smaller than the sum of its proper divisors (227623716).

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

97664940 is a wasteful number, since it uses less digits than its factorization.

97664940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 97664940 is about 9882.5573613311. The cubic root of 97664940 is about 460.5175963313.

It can be divided in two parts, 9766 and 4940, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 97664940 in words is "ninety-seven million, six hundred sixty-four thousand, nine hundred forty".