97650720 has 144 divisors (see below), whose sum is σ = 352923480. Its totient is φ = 24502272.

The previous prime is 97650701. The next prime is 97650727. The reversal of 97650720 is 2705679.

It can be written as a sum of positive squares in 4 ways, for example, as 87385104 + 10265616 = 9348^2 + 3204^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (97650727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22486 + ... + 26474.

Almost surely, 2^97650720 is an apocalyptic number.

97650720 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 97650720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176461740).

97650720 is an abundant number, since it is smaller than the sum of its proper divisors (255272760).

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

97650720 is a wasteful number, since it uses less digits than its factorization.

97650720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027 (or 4016 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 97650720 is about 9881.8378857377. The cubic root of 97650720 is about 460.4952448164.

The spelling of 97650720 in words is "ninety-seven million, six hundred fifty thousand, seven hundred twenty".