1054177664 has 32 divisors (see below), whose sum is σ = 2144815200. Its totient is φ = 515871232.

The previous prime is 1054177639. The next prime is 1054177673. The reversal of 1054177664 is 4667714501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1054177664² = 2222581094552993792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81599 + ... + 93630.

It is an arithmetic number, because the mean of its divisors is an integer number (67025475).

Almost surely, 2^1054177664 is an apocalyptic number.

It is an amenable number.

1054177664 is an abundant number, since it is smaller than the sum of its proper divisors (1090637536).

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

1054177664 is an equidigital number, since it uses as much as digits as its factorization.

1054177664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175290 (or 175278 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 1054177664 is about 32468.1022543665. The cubic root of 1054177664 is about 1017.7425610825.

The spelling of 1054177664 in words is "one billion, fifty-four million, one hundred seventy-seven thousand, six hundred sixty-four".