977106240 has 560 divisors, whose sum is σ = 3983126400. Its totient is φ = 225054720.

The previous prime is 977106227. The next prime is 977106253. The reversal of 977106240 is 42601779.

It is a happy number.

977106240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (977106227) and next prime (977106253).

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 = 977106195 and 977106204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6557686 + ... + 6557834.

Almost surely, 2^977106240 is an apocalyptic number.

977106240 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 977106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991563200).

977106240 is an abundant number, since it is smaller than the sum of its proper divisors (3006020160).

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

977106240 is a wasteful number, since it uses less digits than its factorization.

977106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 977106240 is about 31258.6986293416. The cubic root of 977106240 is about 992.3097584514.

The spelling of 977106240 in words is "nine hundred seventy-seven million, one hundred six thousand, two hundred forty".