972510040 has 32 divisors (see below), whose sum is σ = 2191412880. Its totient is φ = 388423552.

The previous prime is 972510029. The next prime is 972510047. The reversal of 972510040 is 40015279.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 972509990 and 972510008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972510047) 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, 9522 + ... + 45118.

Almost surely, 2^972510040 is an apocalyptic number.

It is an amenable number.

972510040 is an abundant number, since it is smaller than the sum of its proper divisors (1218902840).

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

972510040 is a wasteful number, since it uses less digits than its factorization.

972510040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36291 (or 36287 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 972510040 is about 31185.0932337872. The cubic root of 972510040 is about 990.7514072291.

The spelling of 972510040 in words is "nine hundred seventy-two million, five hundred ten thousand, forty".