977634336 has 96 divisors (see below), whose sum is σ = 2940900480. Its totient is φ = 278562816.

The previous prime is 977634331. The next prime is 977634337. The reversal of 977634336 is 633436779.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (977634331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273070 + ... + 276626.

It is an arithmetic number, because the mean of its divisors is an integer number (30634380).

Almost surely, 2^977634336 is an apocalyptic number.

977634336 is a gapful number since it is divisible by the number (96) 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 977634336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470450240).

977634336 is an abundant number, since it is smaller than the sum of its proper divisors (1963266144).

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

977634336 is a wasteful number, since it uses less digits than its factorization.

977634336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 3978 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 48.

The square root of 977634336 is about 31267.1446729630. The cubic root of 977634336 is about 992.4884972664.

The spelling of 977634336 in words is "nine hundred seventy-seven million, six hundred thirty-four thousand, three hundred thirty-six".