1607240880 has 560 divisors, whose sum is σ = 6661668864. Its totient is φ = 352719360.

The previous prime is 1607240879. The next prime is 1607240881. The reversal of 1607240880 is 880427061.

1607240880 is a `hidden beast` number, since 1 + 607 + 2 + 40 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1607240879) and next prime (1607240881).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1607240881) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12655377 + ... + 12655503.

Almost surely, 2^1607240880 is an apocalyptic number.

1607240880 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 1607240880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330834432).

1607240880 is an abundant number, since it is smaller than the sum of its proper divisors (5054427984).

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

1607240880 is a wasteful number, since it uses less digits than its factorization.

1607240880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1607240880 is about 40090.4088280476. The cubic root of 1607240880 is about 1171.3688121692.

The spelling of 1607240880 in words is "one billion, six hundred seven million, two hundred forty thousand, eight hundred eighty".