97007616 has 144 divisors (see below), whose sum is σ = 295986600. Its totient is φ = 30523392.

The previous prime is 97007611. The next prime is 97007621. The reversal of 97007616 is 61670079.

It is an interprime number because it is at equal distance from previous prime (97007611) and next prime (97007621).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97007611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350070 + ... + 350346.

Almost surely, 2^97007616 is an apocalyptic number.

97007616 is a gapful number since it is divisible by the number (96) 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 97007616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147993300).

97007616 is an abundant number, since it is smaller than the sum of its proper divisors (198978984).

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

97007616 is a wasteful number, since it uses less digits than its factorization.

97007616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 97007616 is about 9849.2444380267. The cubic root of 97007616 is about 459.4821140751.

The spelling of 97007616 in words is "ninety-seven million, seven thousand, six hundred sixteen".