976145040 has 160 divisors (see below), whose sum is σ = 3621018240. Its totient is φ = 240274944.

The previous prime is 976144993. The next prime is 976145069. The reversal of 976145040 is 40541679.

976145040 is a `hidden beast` number, since 97 + 61 + 4 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 976144986 and 976145004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10699 + ... + 45461.

It is an arithmetic number, because the mean of its divisors is an integer number (22631364).

Almost surely, 2^976145040 is an apocalyptic number.

976145040 is a gapful number since it is divisible by the number (90) 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 976145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810509120).

976145040 is an abundant number, since it is smaller than the sum of its proper divisors (2644873200).

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

976145040 is a wasteful number, since it uses less digits than its factorization.

976145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34798 (or 34786 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 976145040 is about 31243.3199260258. The cubic root of 976145040 is about 991.9842663564.

The spelling of 976145040 in words is "nine hundred seventy-six million, one hundred forty-five thousand, forty".