1672151040 has 476 divisors, whose sum is σ = 6876508944. Its totient is φ = 382205952.

The previous prime is 1672151023. The next prime is 1672151071. The reversal of 1672151040 is 401512761.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (4!)² ⋅ (2!)³.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1672150995 and 1672151013.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 238878717 + ... + 238878723.

Almost surely, 2^1672151040 is an apocalyptic number.

1672151040 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 1672151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438254472).

1672151040 is an abundant number, since it is smaller than the sum of its proper divisors (5204357904).

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

1672151040 is an frugal number, since it uses more digits than its factorization.

1672151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1672151040 is about 40891.9434607845. The cubic root of 1672151040 is about 1186.9301663449.

The spelling of 1672151040 in words is "one billion, six hundred seventy-two million, one hundred fifty-one thousand, forty".