97617280 has 64 divisors (see below), whose sum is σ = 235399680. Its totient is φ = 38707200.

The previous prime is 97617253. The next prime is 97617283. The reversal of 97617280 is 8271679.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97617283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80680 + ... + 81880.

It is an arithmetic number, because the mean of its divisors is an integer number (3678120).

Almost surely, 2^97617280 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 97617280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117699840).

97617280 is an abundant number, since it is smaller than the sum of its proper divisors (137782400).

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

97617280 is a wasteful number, since it uses less digits than its factorization.

97617280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 97617280 is about 9880.1457479128. The cubic root of 97617280 is about 460.4426740517.

The spelling of 97617280 in words is "ninety-seven million, six hundred seventeen thousand, two hundred eighty".