1672954560 has 560 divisors, whose sum is σ = 6491020800. Its totient is φ = 407586816.

The previous prime is 1672954537. The next prime is 1672954571. The reversal of 1672954560 is 654592761.

1672954560 is a `hidden beast` number, since 1 + 67 + 29 + 5 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 21176601 + ... + 21176679.

Almost surely, 2^1672954560 is an apocalyptic number.

1672954560 is a gapful number since it is divisible by the number (10) 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 1672954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245510400).

1672954560 is an abundant number, since it is smaller than the sum of its proper divisors (4818066240).

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

1672954560 is a wasteful number, since it uses less digits than its factorization.

1672954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 1672954560 is about 40901.7671989854. The cubic root of 1672954560 is about 1187.1202547163.

It can be divided in two parts, 16729 and 54560, that added together give a square (71289 = 267²).

The spelling of 1672954560 in words is "one billion, six hundred seventy-two million, nine hundred fifty-four thousand, five hundred sixty".