97724640 has 96 divisors (see below), whose sum is σ = 331533216. Its totient is φ = 24053760.

The previous prime is 97724639. The next prime is 97724647. The reversal of 97724640 is 4642779.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97724647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1591 + ... + 14070.

It is an arithmetic number, because the mean of its divisors is an integer number (3453471).

Almost surely, 2^97724640 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 97724640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165766608).

97724640 is an abundant number, since it is smaller than the sum of its proper divisors (233808576).

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

97724640 is a wasteful number, since it uses less digits than its factorization.

97724640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15692 (or 15684 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 97724640 is about 9885.5773731229. The cubic root of 97724640 is about 460.6114113022.

The spelling of 97724640 in words is "ninety-seven million, seven hundred twenty-four thousand, six hundred forty".