97440672 has 96 divisors (see below), whose sum is σ = 296013312. Its totient is φ = 27489024.

The previous prime is 97440649. The next prime is 97440697. The reversal of 97440672 is 27604479.

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

It is a super-3 number, since 3×97440672³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 97440672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54903 + ... + 56649.

It is an arithmetic number, because the mean of its divisors is an integer number (3083472).

Almost surely, 2^97440672 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 97440672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148006656).

97440672 is an abundant number, since it is smaller than the sum of its proper divisors (198572640).

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

97440672 is a wasteful number, since it uses less digits than its factorization.

97440672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1842 counting only the distinct ones).

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

The square root of 97440672 is about 9871.2041818615. The cubic root of 97440672 is about 460.1648306586.

The spelling of 97440672 in words is "ninety-seven million, four hundred forty thousand, six hundred seventy-two".