1240506900 has 180 divisors, whose sum is σ = 4160684220. Its totient is φ = 319334400.

The previous prime is 1240506859. The next prime is 1240506937. The reversal of 1240506900 is 96050421.

It can be written as a sum of positive squares in 6 ways, for example, as 135210384 + 1105296516 = 11628^2 + 33246^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1240506900² = 3077714737895220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 232260 + ... + 237540.

Almost surely, 2^1240506900 is an apocalyptic number.

1240506900 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 1240506900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080342110).

1240506900 is an abundant number, since it is smaller than the sum of its proper divisors (2920177320).

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

1240506900 is a wasteful number, since it uses less digits than its factorization.

1240506900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1240506900 is about 35220.8304842461. The cubic root of 1240506900 is about 1074.4834439114.

The spelling of 1240506900 in words is "one billion, two hundred forty million, five hundred six thousand, nine hundred".