977346006 has 64 divisors (see below), whose sum is σ = 2411555328. Its totient is φ = 257142528.

The previous prime is 977345989. The next prime is 977346037. The reversal of 977346006 is 600643779.

977346006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 253066 + ... + 256898.

It is an arithmetic number, because the mean of its divisors is an integer number (37680552).

Almost surely, 2^977346006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977346006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205777664).

977346006 is an abundant number, since it is smaller than the sum of its proper divisors (1434209322).

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

977346006 is a wasteful number, since it uses less digits than its factorization.

977346006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325.

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 977346006 is about 31262.5335825489. The cubic root of 977346006 is about 992.3909173789.

It can be divided in two parts, 97734 and 6006, that added together give a triangular number (103740 = T₄₅₅).

The spelling of 977346006 in words is "nine hundred seventy-seven million, three hundred forty-six thousand, six".